QuestionSolve the equation step by step and fill in the missing terms. Simplify fractions where needed.
$6(13 w+2)-10=2$
$\square+12-10=2$
$78 w+\square=2$
Find $w$ by applying the distributive property and combining like terms.

Studdy Solution

STEP 1

Assumptions1. The equation is given as $6(13w +) -10 =$ . . We need to apply the distributive property, combine like terms, subtract from both sides, and divide both sides by78 to solve for $w$ .

STEP 2

First, we apply the distributive property to the left side of the equation.
$6(13w +2) -10 =2$ $\Rightarrow78w +12 -10 =2$

STEP 3

Next, we combine like terms on the left side of the equation.
$78w +12 -10 =2$ $\Rightarrow78w + \square =2$ The missing term here is $2$ , since $12 -10 =2$ .

STEP 4

Subtract2 from both sides of the equation.
$78w +2 =2$ $\Rightarrow78w = \square$ The missing term here is $0$ , since $2 -2 =0$ .

STEP 5

Finally, divide both sides by78 to solve for $w$ .
$78w =0$ $\Rightarrow w = \square$ The missing term here is $0$ , since $0 \div78 =0$ .
Therefore, the solution to the equation is $w =0$ .

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