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Simplifying -3w + 29 = 4(w + -5) Reorder the terms: 29 + -3w = 4(w + -5) Reorder the terms: 29 + -3w = 4(-5 + w) 29 + -3w = (-5 * 4 + w * 4) 29 + -3w = (-20 + 4w) Solving 29 + -3w = -20 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 29 + -3w + -4w = -20 + 4w + -4w Combine like terms: -3w + -4w = -7w 29 + -7w = -20 + 4w + -4w Combine like terms: 4w + -4w = 0 29 + -7w = -20 + 0 29 + -7w = -20 Add '-29' to each side of the equation. 29 + -29 + -7w = -20 + -29 Combine like terms: 29 + -29 = 0 0 + -7w = -20 + -29 -7w = -20 + -29 Combine like terms: -20 + -29 = -49 -7w = -49 Divide each side by '-7'. w = 7 Simplifying w = 7
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