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Simplifying -3(-4w + 1) + 15 = 13w Reorder the terms: -3(1 + -4w) + 15 = 13w (1 * -3 + -4w * -3) + 15 = 13w (-3 + 12w) + 15 = 13w Reorder the terms: -3 + 15 + 12w = 13w Combine like terms: -3 + 15 = 12 12 + 12w = 13w Solving 12 + 12w = 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 12 + 12w + -13w = 13w + -13w Combine like terms: 12w + -13w = -1w 12 + -1w = 13w + -13w Combine like terms: 13w + -13w = 0 12 + -1w = 0 Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12
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