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Simplifying 7 + w = 4(w + -5) Reorder the terms: 7 + w = 4(-5 + w) 7 + w = (-5 * 4 + w * 4) 7 + w = (-20 + 4w) Solving 7 + w = -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. 7 + w + -4w = -20 + 4w + -4w Combine like terms: w + -4w = -3w 7 + -3w = -20 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + -3w = -20 + 0 7 + -3w = -20 Add '-7' to each side of the equation. 7 + -7 + -3w = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = -20 + -7 -3w = -20 + -7 Combine like terms: -20 + -7 = -27 -3w = -27 Divide each side by '-3'. w = 9 Simplifying w = 9
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