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Simplifying -6(w + -8) + -1(9 + 8w) = -15w Reorder the terms: -6(-8 + w) + -1(9 + 8w) = -15w (-8 * -6 + w * -6) + -1(9 + 8w) = -15w (48 + -6w) + -1(9 + 8w) = -15w 48 + -6w + (9 * -1 + 8w * -1) = -15w 48 + -6w + (-9 + -8w) = -15w Reorder the terms: 48 + -9 + -6w + -8w = -15w Combine like terms: 48 + -9 = 39 39 + -6w + -8w = -15w Combine like terms: -6w + -8w = -14w 39 + -14w = -15w Solving 39 + -14w = -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 39 + -14w + 15w = -15w + 15w Combine like terms: -14w + 15w = 1w 39 + 1w = -15w + 15w Combine like terms: -15w + 15w = 0 39 + 1w = 0 Add '-39' to each side of the equation. 39 + -39 + 1w = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 1w = 0 + -39 1w = 0 + -39 Combine like terms: 0 + -39 = -39 1w = -39 Divide each side by '1'. w = -39 Simplifying w = -39
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