-2(2w-5)+6w=8+2(4w-7)

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Solution for -2(2w-5)+6w=8+2(4w-7) equation:


Simplifying
-2(2w + -5) + 6w = 8 + 2(4w + -7)

Reorder the terms:
-2(-5 + 2w) + 6w = 8 + 2(4w + -7)
(-5 * -2 + 2w * -2) + 6w = 8 + 2(4w + -7)
(10 + -4w) + 6w = 8 + 2(4w + -7)

Combine like terms: -4w + 6w = 2w
10 + 2w = 8 + 2(4w + -7)

Reorder the terms:
10 + 2w = 8 + 2(-7 + 4w)
10 + 2w = 8 + (-7 * 2 + 4w * 2)
10 + 2w = 8 + (-14 + 8w)

Combine like terms: 8 + -14 = -6
10 + 2w = -6 + 8w

Solving
10 + 2w = -6 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
10 + 2w + -8w = -6 + 8w + -8w

Combine like terms: 2w + -8w = -6w
10 + -6w = -6 + 8w + -8w

Combine like terms: 8w + -8w = 0
10 + -6w = -6 + 0
10 + -6w = -6

Add '-10' to each side of the equation.
10 + -10 + -6w = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -6w = -6 + -10
-6w = -6 + -10

Combine like terms: -6 + -10 = -16
-6w = -16

Divide each side by '-6'.
w = 2.666666667

Simplifying
w = 2.666666667

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