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Simplifying 15w + -36 = 3(w + 4) Reorder the terms: -36 + 15w = 3(w + 4) Reorder the terms: -36 + 15w = 3(4 + w) -36 + 15w = (4 * 3 + w * 3) -36 + 15w = (12 + 3w) Solving -36 + 15w = 12 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -36 + 15w + -3w = 12 + 3w + -3w Combine like terms: 15w + -3w = 12w -36 + 12w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 -36 + 12w = 12 + 0 -36 + 12w = 12 Add '36' to each side of the equation. -36 + 36 + 12w = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 12w = 12 + 36 12w = 12 + 36 Combine like terms: 12 + 36 = 48 12w = 48 Divide each side by '12'. w = 4 Simplifying w = 4
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