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Math

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PROBLEM

Solve 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 ww by applying the distributive property and combining like terms.

STEP 1

Assumptions1. The equation is given as 6(13w+)10=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 ww.

STEP 2

First, we apply the distributive property to the left side of the equation.
6(13w+2)10=26(13w +2) -10 =278w+1210=2\Rightarrow78w +12 -10 =2

STEP 3

Next, we combine like terms on the left side of the equation.
78w+1210=278w +12 -10 =278w+=2\Rightarrow78w + \square =2The missing term here is 22, since 1210=212 -10 =2.

STEP 4

Subtract2 from both sides of the equation.
78w+2=278w +2 =278w=\Rightarrow78w = \squareThe missing term here is 00, since 22=02 -2 =0.

SOLUTION

Finally, divide both sides by78 to solve for ww.
78w=078w =0w=\Rightarrow w = \squareThe missing term here is 00, since 0÷78=00 \div78 =0.
Therefore, the solution to the equation is w=0w =0.

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