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

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Solution for 2(w-(4w+7)+1)=2(w+6) equation:


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

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

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

Combine like terms: -7 + 1 = -6
2(-6 + w + -4w) = 2(w + 6)

Combine like terms: w + -4w = -3w
2(-6 + -3w) = 2(w + 6)
(-6 * 2 + -3w * 2) = 2(w + 6)
(-12 + -6w) = 2(w + 6)

Reorder the terms:
-12 + -6w = 2(6 + w)
-12 + -6w = (6 * 2 + w * 2)
-12 + -6w = (12 + 2w)

Solving
-12 + -6w = 12 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-12 + -6w + -2w = 12 + 2w + -2w

Combine like terms: -6w + -2w = -8w
-12 + -8w = 12 + 2w + -2w

Combine like terms: 2w + -2w = 0
-12 + -8w = 12 + 0
-12 + -8w = 12

Add '12' to each side of the equation.
-12 + 12 + -8w = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -8w = 12 + 12
-8w = 12 + 12

Combine like terms: 12 + 12 = 24
-8w = 24

Divide each side by '-8'.
w = -3

Simplifying
w = -3

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