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Simplifying 12 = -3w + 6(w + 5) Reorder the terms: 12 = -3w + 6(5 + w) 12 = -3w + (5 * 6 + w * 6) 12 = -3w + (30 + 6w) Reorder the terms: 12 = 30 + -3w + 6w Combine like terms: -3w + 6w = 3w 12 = 30 + 3w Solving 12 = 30 + 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 = 30 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -3w = 30 + 0 12 + -3w = 30 Add '-12' to each side of the equation. 12 + -12 + -3w = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = 30 + -12 -3w = 30 + -12 Combine like terms: 30 + -12 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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