6(w-7)-(2+9w)=-4w

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Solution for 6(w-7)-(2+9w)=-4w equation:


Simplifying
6(w + -7) + -1(2 + 9w) = -4w

Reorder the terms:
6(-7 + w) + -1(2 + 9w) = -4w
(-7 * 6 + w * 6) + -1(2 + 9w) = -4w
(-42 + 6w) + -1(2 + 9w) = -4w
-42 + 6w + (2 * -1 + 9w * -1) = -4w
-42 + 6w + (-2 + -9w) = -4w

Reorder the terms:
-42 + -2 + 6w + -9w = -4w

Combine like terms: -42 + -2 = -44
-44 + 6w + -9w = -4w

Combine like terms: 6w + -9w = -3w
-44 + -3w = -4w

Solving
-44 + -3w = -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
-44 + -3w + 4w = -4w + 4w

Combine like terms: -3w + 4w = 1w
-44 + 1w = -4w + 4w

Combine like terms: -4w + 4w = 0
-44 + 1w = 0

Add '44' to each side of the equation.
-44 + 44 + 1w = 0 + 44

Combine like terms: -44 + 44 = 0
0 + 1w = 0 + 44
1w = 0 + 44

Combine like terms: 0 + 44 = 44
1w = 44

Divide each side by '1'.
w = 44

Simplifying
w = 44

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