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Simplifying -4(3w + -3) + 8w = 6 + 4(2w + -2) Reorder the terms: -4(-3 + 3w) + 8w = 6 + 4(2w + -2) (-3 * -4 + 3w * -4) + 8w = 6 + 4(2w + -2) (12 + -12w) + 8w = 6 + 4(2w + -2) Combine like terms: -12w + 8w = -4w 12 + -4w = 6 + 4(2w + -2) Reorder the terms: 12 + -4w = 6 + 4(-2 + 2w) 12 + -4w = 6 + (-2 * 4 + 2w * 4) 12 + -4w = 6 + (-8 + 8w) Combine like terms: 6 + -8 = -2 12 + -4w = -2 + 8w Solving 12 + -4w = -2 + 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. 12 + -4w + -8w = -2 + 8w + -8w Combine like terms: -4w + -8w = -12w 12 + -12w = -2 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + -12w = -2 + 0 12 + -12w = -2 Add '-12' to each side of the equation. 12 + -12 + -12w = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -12w = -2 + -12 -12w = -2 + -12 Combine like terms: -2 + -12 = -14 -12w = -14 Divide each side by '-12'. w = 1.166666667 Simplifying w = 1.166666667
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