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Simplifying 12 = 3(w + -5) + -6w Reorder the terms: 12 = 3(-5 + w) + -6w 12 = (-5 * 3 + w * 3) + -6w 12 = (-15 + 3w) + -6w Combine like terms: 3w + -6w = -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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