-4(2w+1)+3(3w+7)=18

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Solution for -4(2w+1)+3(3w+7)=18 equation:


Simplifying
-4(2w + 1) + 3(3w + 7) = 18

Reorder the terms:
-4(1 + 2w) + 3(3w + 7) = 18
(1 * -4 + 2w * -4) + 3(3w + 7) = 18
(-4 + -8w) + 3(3w + 7) = 18

Reorder the terms:
-4 + -8w + 3(7 + 3w) = 18
-4 + -8w + (7 * 3 + 3w * 3) = 18
-4 + -8w + (21 + 9w) = 18

Reorder the terms:
-4 + 21 + -8w + 9w = 18

Combine like terms: -4 + 21 = 17
17 + -8w + 9w = 18

Combine like terms: -8w + 9w = 1w
17 + 1w = 18

Solving
17 + 1w = 18

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + 1w = 18 + -17

Combine like terms: 17 + -17 = 0
0 + 1w = 18 + -17
1w = 18 + -17

Combine like terms: 18 + -17 = 1
1w = 1

Divide each side by '1'.
w = 1

Simplifying
w = 1

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