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Simplifying 5(3w + -4) = 12w + 7 Reorder the terms: 5(-4 + 3w) = 12w + 7 (-4 * 5 + 3w * 5) = 12w + 7 (-20 + 15w) = 12w + 7 Reorder the terms: -20 + 15w = 7 + 12w Solving -20 + 15w = 7 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -20 + 15w + -12w = 7 + 12w + -12w Combine like terms: 15w + -12w = 3w -20 + 3w = 7 + 12w + -12w Combine like terms: 12w + -12w = 0 -20 + 3w = 7 + 0 -20 + 3w = 7 Add '20' to each side of the equation. -20 + 20 + 3w = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 3w = 7 + 20 3w = 7 + 20 Combine like terms: 7 + 20 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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