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Simplifying -4(3w + -2) = 7(2w + 2) Reorder the terms: -4(-2 + 3w) = 7(2w + 2) (-2 * -4 + 3w * -4) = 7(2w + 2) (8 + -12w) = 7(2w + 2) Reorder the terms: 8 + -12w = 7(2 + 2w) 8 + -12w = (2 * 7 + 2w * 7) 8 + -12w = (14 + 14w) Solving 8 + -12w = 14 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 8 + -12w + -14w = 14 + 14w + -14w Combine like terms: -12w + -14w = -26w 8 + -26w = 14 + 14w + -14w Combine like terms: 14w + -14w = 0 8 + -26w = 14 + 0 8 + -26w = 14 Add '-8' to each side of the equation. 8 + -8 + -26w = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -26w = 14 + -8 -26w = 14 + -8 Combine like terms: 14 + -8 = 6 -26w = 6 Divide each side by '-26'. w = -0.2307692308 Simplifying w = -0.2307692308
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