2(w-3)-7=-6(-4w+3)-7w

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Solution for 2(w-3)-7=-6(-4w+3)-7w equation:


Simplifying
2(w + -3) + -7 = -6(-4w + 3) + -7w

Reorder the terms:
2(-3 + w) + -7 = -6(-4w + 3) + -7w
(-3 * 2 + w * 2) + -7 = -6(-4w + 3) + -7w
(-6 + 2w) + -7 = -6(-4w + 3) + -7w

Reorder the terms:
-6 + -7 + 2w = -6(-4w + 3) + -7w

Combine like terms: -6 + -7 = -13
-13 + 2w = -6(-4w + 3) + -7w

Reorder the terms:
-13 + 2w = -6(3 + -4w) + -7w
-13 + 2w = (3 * -6 + -4w * -6) + -7w
-13 + 2w = (-18 + 24w) + -7w

Combine like terms: 24w + -7w = 17w
-13 + 2w = -18 + 17w

Solving
-13 + 2w = -18 + 17w

Solving for variable 'w'.

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

Add '-17w' to each side of the equation.
-13 + 2w + -17w = -18 + 17w + -17w

Combine like terms: 2w + -17w = -15w
-13 + -15w = -18 + 17w + -17w

Combine like terms: 17w + -17w = 0
-13 + -15w = -18 + 0
-13 + -15w = -18

Add '13' to each side of the equation.
-13 + 13 + -15w = -18 + 13

Combine like terms: -13 + 13 = 0
0 + -15w = -18 + 13
-15w = -18 + 13

Combine like terms: -18 + 13 = -5
-15w = -5

Divide each side by '-15'.
w = 0.3333333333

Simplifying
w = 0.3333333333

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