-2(5w-4)+6w=8+6(2w-3)

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Solution for -2(5w-4)+6w=8+6(2w-3) equation:


Simplifying
-2(5w + -4) + 6w = 8 + 6(2w + -3)

Reorder the terms:
-2(-4 + 5w) + 6w = 8 + 6(2w + -3)
(-4 * -2 + 5w * -2) + 6w = 8 + 6(2w + -3)
(8 + -10w) + 6w = 8 + 6(2w + -3)

Combine like terms: -10w + 6w = -4w
8 + -4w = 8 + 6(2w + -3)

Reorder the terms:
8 + -4w = 8 + 6(-3 + 2w)
8 + -4w = 8 + (-3 * 6 + 2w * 6)
8 + -4w = 8 + (-18 + 12w)

Combine like terms: 8 + -18 = -10
8 + -4w = -10 + 12w

Solving
8 + -4w = -10 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
8 + -4w + -12w = -10 + 12w + -12w

Combine like terms: -4w + -12w = -16w
8 + -16w = -10 + 12w + -12w

Combine like terms: 12w + -12w = 0
8 + -16w = -10 + 0
8 + -16w = -10

Add '-8' to each side of the equation.
8 + -8 + -16w = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -16w = -10 + -8
-16w = -10 + -8

Combine like terms: -10 + -8 = -18
-16w = -18

Divide each side by '-16'.
w = 1.125

Simplifying
w = 1.125

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