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