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Simplifying 12 = 5(w + -3) + -2w Reorder the terms: 12 = 5(-3 + w) + -2w 12 = (-3 * 5 + w * 5) + -2w 12 = (-15 + 5w) + -2w Combine like terms: 5w + -2w = 3w 12 = -15 + 3w Solving 12 = -15 + 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. 12 + -3w = -15 + 3w + -3w Combine like terms: 3w + -3w = 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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