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QuestionSolve the equation step-by-step, filling in missing terms and simplifying fractions:
7(4b+2)+17b=14 7(4b + 2) + 17b = 14
Find bb after applying the distributive property and combining like terms.

Studdy Solution

STEP 1

Assumptions1. The equation is given as7(4b+)+17b=14+14+17b=14+14=14\begin{array}{r} 7(4 b+)+17 b=14 \\ +14+17 b=14 \\ +14=14\end{array} . The missing terms are to be found3. The distributive property applies to the equation4. Like terms can be combined5. Both sides of the equation can be subtracted by146. Both sides of the equation can be divided by45

STEP 2

First, apply the distributive property to the equation. The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac.7(4b+2)+17b=147(4 b+2)+17 b=14

STEP 3

Apply the distributive property to the equation.
28b+14+17b=1428b +14 +17b =14

STEP 4

Combine like terms on the left side of the equation.
45b+14=1445b +14 =14

STEP 5

Subtract14 from both sides of the equation.
45b+14−14=14−1445b +14 -14 =14 -14

STEP 6

implify the equation.
45b=045b =0

STEP 7

Divide both sides of the equation by45.
45b45=045\frac{45b}{45} = \frac{0}{45}

STEP 8

implify the equation to find the value of bb.
b=0b =0So, the missing terms in the equation are 28b+14+17b28b +14 +17b, 45b+1445b +14, 45b45b, and 00.

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