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Simplifying w + -15 = 4(w + 3) Reorder the terms: -15 + w = 4(w + 3) Reorder the terms: -15 + w = 4(3 + w) -15 + w = (3 * 4 + w * 4) -15 + w = (12 + 4w) Solving -15 + w = 12 + 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. -15 + w + -4w = 12 + 4w + -4w Combine like terms: w + -4w = -3w -15 + -3w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 -15 + -3w = 12 + 0 -15 + -3w = 12 Add '15' to each side of the equation. -15 + 15 + -3w = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -3w = 12 + 15 -3w = 12 + 15 Combine like terms: 12 + 15 = 27 -3w = 27 Divide each side by '-3'. w = -9 Simplifying w = -9
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