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Simplifying 4(1w + 3) = 1w + -15 Reorder the terms: 4(3 + 1w) = 1w + -15 (3 * 4 + 1w * 4) = 1w + -15 (12 + 4w) = 1w + -15 Reorder the terms: 12 + 4w = -15 + 1w Solving 12 + 4w = -15 + 1w 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. 12 + 4w + -1w = -15 + 1w + -1w Combine like terms: 4w + -1w = 3w 12 + 3w = -15 + 1w + -1w Combine like terms: 1w + -1w = 0 12 + 3w = -15 + 0 12 + 3w = -15 Add '-12' to each side of the equation. 12 + -12 + 3w = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = -15 + -12 3w = -15 + -12 Combine like terms: -15 + -12 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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