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Simplifying 7(w + -6) + -1(-2w + -6) = 8w Reorder the terms: 7(-6 + w) + -1(-2w + -6) = 8w (-6 * 7 + w * 7) + -1(-2w + -6) = 8w (-42 + 7w) + -1(-2w + -6) = 8w Reorder the terms: -42 + 7w + -1(-6 + -2w) = 8w -42 + 7w + (-6 * -1 + -2w * -1) = 8w -42 + 7w + (6 + 2w) = 8w Reorder the terms: -42 + 6 + 7w + 2w = 8w Combine like terms: -42 + 6 = -36 -36 + 7w + 2w = 8w Combine like terms: 7w + 2w = 9w -36 + 9w = 8w Solving -36 + 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. -36 + 9w + -8w = 8w + -8w Combine like terms: 9w + -8w = 1w -36 + 1w = 8w + -8w Combine like terms: 8w + -8w = 0 -36 + 1w = 0 Add '36' to each side of the equation. -36 + 36 + 1w = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 1w = 0 + 36 1w = 0 + 36 Combine like terms: 0 + 36 = 36 1w = 36 Divide each side by '1'. w = 36 Simplifying w = 36
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