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Simplifying 3(5w + 4) + -4(3w + -2) = 7 Reorder the terms: 3(4 + 5w) + -4(3w + -2) = 7 (4 * 3 + 5w * 3) + -4(3w + -2) = 7 (12 + 15w) + -4(3w + -2) = 7 Reorder the terms: 12 + 15w + -4(-2 + 3w) = 7 12 + 15w + (-2 * -4 + 3w * -4) = 7 12 + 15w + (8 + -12w) = 7 Reorder the terms: 12 + 8 + 15w + -12w = 7 Combine like terms: 12 + 8 = 20 20 + 15w + -12w = 7 Combine like terms: 15w + -12w = 3w 20 + 3w = 7 Solving 20 + 3w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. 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 = -13 3w = -13 Divide each side by '3'. w = -4.333333333 Simplifying w = -4.333333333
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