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Simplifying -2(w + 8) + -1(5w + -6) = -8w Reorder the terms: -2(8 + w) + -1(5w + -6) = -8w (8 * -2 + w * -2) + -1(5w + -6) = -8w (-16 + -2w) + -1(5w + -6) = -8w Reorder the terms: -16 + -2w + -1(-6 + 5w) = -8w -16 + -2w + (-6 * -1 + 5w * -1) = -8w -16 + -2w + (6 + -5w) = -8w Reorder the terms: -16 + 6 + -2w + -5w = -8w Combine like terms: -16 + 6 = -10 -10 + -2w + -5w = -8w Combine like terms: -2w + -5w = -7w -10 + -7w = -8w Solving -10 + -7w = -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. -10 + -7w + 8w = -8w + 8w Combine like terms: -7w + 8w = 1w -10 + 1w = -8w + 8w Combine like terms: -8w + 8w = 0 -10 + 1w = 0 Add '10' to each side of the equation. -10 + 10 + 1w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1w = 0 + 10 1w = 0 + 10 Combine like terms: 0 + 10 = 10 1w = 10 Divide each side by '1'. w = 10 Simplifying w = 10
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