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Simplifying -6(w + -3) + -1(-8w + -5) = w Reorder the terms: -6(-3 + w) + -1(-8w + -5) = w (-3 * -6 + w * -6) + -1(-8w + -5) = w (18 + -6w) + -1(-8w + -5) = w Reorder the terms: 18 + -6w + -1(-5 + -8w) = w 18 + -6w + (-5 * -1 + -8w * -1) = w 18 + -6w + (5 + 8w) = w Reorder the terms: 18 + 5 + -6w + 8w = w Combine like terms: 18 + 5 = 23 23 + -6w + 8w = w Combine like terms: -6w + 8w = 2w 23 + 2w = w Solving 23 + 2w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 23 + 2w + -1w = w + -1w Combine like terms: 2w + -1w = 1w 23 + 1w = w + -1w Combine like terms: w + -1w = 0 23 + 1w = 0 Add '-23' to each side of the equation. 23 + -23 + 1w = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 1w = 0 + -23 1w = 0 + -23 Combine like terms: 0 + -23 = -23 1w = -23 Divide each side by '1'. w = -23 Simplifying w = -23
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