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Simplifying -2(4w + -4) + 7w = 5 + 3(5w + -3) Reorder the terms: -2(-4 + 4w) + 7w = 5 + 3(5w + -3) (-4 * -2 + 4w * -2) + 7w = 5 + 3(5w + -3) (8 + -8w) + 7w = 5 + 3(5w + -3) Combine like terms: -8w + 7w = -1w 8 + -1w = 5 + 3(5w + -3) Reorder the terms: 8 + -1w = 5 + 3(-3 + 5w) 8 + -1w = 5 + (-3 * 3 + 5w * 3) 8 + -1w = 5 + (-9 + 15w) Combine like terms: 5 + -9 = -4 8 + -1w = -4 + 15w Solving 8 + -1w = -4 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 8 + -1w + -15w = -4 + 15w + -15w Combine like terms: -1w + -15w = -16w 8 + -16w = -4 + 15w + -15w Combine like terms: 15w + -15w = 0 8 + -16w = -4 + 0 8 + -16w = -4 Add '-8' to each side of the equation. 8 + -8 + -16w = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -16w = -4 + -8 -16w = -4 + -8 Combine like terms: -4 + -8 = -12 -16w = -12 Divide each side by '-16'. w = 0.75 Simplifying w = 0.75
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