2(3w+7)-4(5-2W)=6

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Solution for 2(3w+7)-4(5-2W)=6 equation:


Simplifying
2(3w + 7) + -4(5 + -2W) = 6

Reorder the terms:
2(7 + 3w) + -4(5 + -2W) = 6
(7 * 2 + 3w * 2) + -4(5 + -2W) = 6
(14 + 6w) + -4(5 + -2W) = 6
14 + 6w + (5 * -4 + -2W * -4) = 6
14 + 6w + (-20 + 8W) = 6

Reorder the terms:
14 + -20 + 8W + 6w = 6

Combine like terms: 14 + -20 = -6
-6 + 8W + 6w = 6

Solving
-6 + 8W + 6w = 6

Solving for variable 'W'.

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

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

Reorder the terms:
-6 + 6 + 8W + 6w = 6 + 6

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

Combine like terms: 6 + 6 = 12
8W + 6w = 12

Add '-6w' to each side of the equation.
8W + 6w + -6w = 12 + -6w

Combine like terms: 6w + -6w = 0
8W + 0 = 12 + -6w
8W = 12 + -6w

Divide each side by '8'.
W = 1.5 + -0.75w

Simplifying
W = 1.5 + -0.75w

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