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Simplifying 6(w + -5) = 3w + 12 Reorder the terms: 6(-5 + w) = 3w + 12 (-5 * 6 + w * 6) = 3w + 12 (-30 + 6w) = 3w + 12 Reorder the terms: -30 + 6w = 12 + 3w Solving -30 + 6w = 12 + 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. -30 + 6w + -3w = 12 + 3w + -3w Combine like terms: 6w + -3w = 3w -30 + 3w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 -30 + 3w = 12 + 0 -30 + 3w = 12 Add '30' to each side of the equation. -30 + 30 + 3w = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 3w = 12 + 30 3w = 12 + 30 Combine like terms: 12 + 30 = 42 3w = 42 Divide each side by '3'. w = 14 Simplifying w = 14
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