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Simplifying -4(w + 1) + -1w + -7 = 5(w + 4) + 9 Reorder the terms: -4(1 + w) + -1w + -7 = 5(w + 4) + 9 (1 * -4 + w * -4) + -1w + -7 = 5(w + 4) + 9 (-4 + -4w) + -1w + -7 = 5(w + 4) + 9 Reorder the terms: -4 + -7 + -4w + -1w = 5(w + 4) + 9 Combine like terms: -4 + -7 = -11 -11 + -4w + -1w = 5(w + 4) + 9 Combine like terms: -4w + -1w = -5w -11 + -5w = 5(w + 4) + 9 Reorder the terms: -11 + -5w = 5(4 + w) + 9 -11 + -5w = (4 * 5 + w * 5) + 9 -11 + -5w = (20 + 5w) + 9 Reorder the terms: -11 + -5w = 20 + 9 + 5w Combine like terms: 20 + 9 = 29 -11 + -5w = 29 + 5w Solving -11 + -5w = 29 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -11 + -5w + -5w = 29 + 5w + -5w Combine like terms: -5w + -5w = -10w -11 + -10w = 29 + 5w + -5w Combine like terms: 5w + -5w = 0 -11 + -10w = 29 + 0 -11 + -10w = 29 Add '11' to each side of the equation. -11 + 11 + -10w = 29 + 11 Combine like terms: -11 + 11 = 0 0 + -10w = 29 + 11 -10w = 29 + 11 Combine like terms: 29 + 11 = 40 -10w = 40 Divide each side by '-10'. w = -4 Simplifying w = -4
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