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Simplifying 7(w + -8) + -1(3 + -2w) = 8w Reorder the terms: 7(-8 + w) + -1(3 + -2w) = 8w (-8 * 7 + w * 7) + -1(3 + -2w) = 8w (-56 + 7w) + -1(3 + -2w) = 8w -56 + 7w + (3 * -1 + -2w * -1) = 8w -56 + 7w + (-3 + 2w) = 8w Reorder the terms: -56 + -3 + 7w + 2w = 8w Combine like terms: -56 + -3 = -59 -59 + 7w + 2w = 8w Combine like terms: 7w + 2w = 9w -59 + 9w = 8w Solving -59 + 9w = 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -59 + 9w + -8w = 8w + -8w Combine like terms: 9w + -8w = 1w -59 + 1w = 8w + -8w Combine like terms: 8w + -8w = 0 -59 + 1w = 0 Add '59' to each side of the equation. -59 + 59 + 1w = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 1w = 0 + 59 1w = 0 + 59 Combine like terms: 0 + 59 = 59 1w = 59 Divide each side by '1'. w = 59 Simplifying w = 59
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