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Simplifying 5 + -1(2w + 3) = 72 + 5w Reorder the terms: 5 + -1(3 + 2w) = 72 + 5w 5 + (3 * -1 + 2w * -1) = 72 + 5w 5 + (-3 + -2w) = 72 + 5w Combine like terms: 5 + -3 = 2 2 + -2w = 72 + 5w Solving 2 + -2w = 72 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 2 + -2w + -5w = 72 + 5w + -5w Combine like terms: -2w + -5w = -7w 2 + -7w = 72 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + -7w = 72 + 0 2 + -7w = 72 Add '-2' to each side of the equation. 2 + -2 + -7w = 72 + -2 Combine like terms: 2 + -2 = 0 0 + -7w = 72 + -2 -7w = 72 + -2 Combine like terms: 72 + -2 = 70 -7w = 70 Divide each side by '-7'. w = -10 Simplifying w = -10
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