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

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Solution for 4(w-6)-1=-7(-4w+4)-9w equation:


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

Reorder the terms:
4(-6 + w) + -1 = -7(-4w + 4) + -9w
(-6 * 4 + w * 4) + -1 = -7(-4w + 4) + -9w
(-24 + 4w) + -1 = -7(-4w + 4) + -9w

Reorder the terms:
-24 + -1 + 4w = -7(-4w + 4) + -9w

Combine like terms: -24 + -1 = -25
-25 + 4w = -7(-4w + 4) + -9w

Reorder the terms:
-25 + 4w = -7(4 + -4w) + -9w
-25 + 4w = (4 * -7 + -4w * -7) + -9w
-25 + 4w = (-28 + 28w) + -9w

Combine like terms: 28w + -9w = 19w
-25 + 4w = -28 + 19w

Solving
-25 + 4w = -28 + 19w

Solving for variable 'w'.

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

Add '-19w' to each side of the equation.
-25 + 4w + -19w = -28 + 19w + -19w

Combine like terms: 4w + -19w = -15w
-25 + -15w = -28 + 19w + -19w

Combine like terms: 19w + -19w = 0
-25 + -15w = -28 + 0
-25 + -15w = -28

Add '25' to each side of the equation.
-25 + 25 + -15w = -28 + 25

Combine like terms: -25 + 25 = 0
0 + -15w = -28 + 25
-15w = -28 + 25

Combine like terms: -28 + 25 = -3
-15w = -3

Divide each side by '-15'.
w = 0.2

Simplifying
w = 0.2

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