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Simplifying 3(w + 4) + -4(2w + -2) = 7 Reorder the terms: 3(4 + w) + -4(2w + -2) = 7 (4 * 3 + w * 3) + -4(2w + -2) = 7 (12 + 3w) + -4(2w + -2) = 7 Reorder the terms: 12 + 3w + -4(-2 + 2w) = 7 12 + 3w + (-2 * -4 + 2w * -4) = 7 12 + 3w + (8 + -8w) = 7 Reorder the terms: 12 + 8 + 3w + -8w = 7 Combine like terms: 12 + 8 = 20 20 + 3w + -8w = 7 Combine like terms: 3w + -8w = -5w 20 + -5w = 7 Solving 20 + -5w = 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 + -5w = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -5w = 7 + -20 -5w = 7 + -20 Combine like terms: 7 + -20 = -13 -5w = -13 Divide each side by '-5'. w = 2.6 Simplifying w = 2.6
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