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Simplifying 4(w + 12) = w + -15 Reorder the terms: 4(12 + w) = w + -15 (12 * 4 + w * 4) = w + -15 (48 + 4w) = w + -15 Reorder the terms: 48 + 4w = -15 + w Solving 48 + 4w = -15 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 48 + 4w + -1w = -15 + w + -1w Combine like terms: 4w + -1w = 3w 48 + 3w = -15 + w + -1w Combine like terms: w + -1w = 0 48 + 3w = -15 + 0 48 + 3w = -15 Add '-48' to each side of the equation. 48 + -48 + 3w = -15 + -48 Combine like terms: 48 + -48 = 0 0 + 3w = -15 + -48 3w = -15 + -48 Combine like terms: -15 + -48 = -63 3w = -63 Divide each side by '3'. w = -21 Simplifying w = -21
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