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Simplifying -6w + 12 = 3(w + -5) Reorder the terms: 12 + -6w = 3(w + -5) Reorder the terms: 12 + -6w = 3(-5 + w) 12 + -6w = (-5 * 3 + w * 3) 12 + -6w = (-15 + 3w) Solving 12 + -6w = -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 + -6w + -3w = -15 + 3w + -3w Combine like terms: -6w + -3w = -9w 12 + -9w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -9w = -15 + 0 12 + -9w = -15 Add '-12' to each side of the equation. 12 + -12 + -9w = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -9w = -15 + -12 -9w = -15 + -12 Combine like terms: -15 + -12 = -27 -9w = -27 Divide each side by '-9'. w = 3 Simplifying w = 3
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