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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 = 3w -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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