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Simplifying -8(w + -5) + -1(2 + 6w) = -15w Reorder the terms: -8(-5 + w) + -1(2 + 6w) = -15w (-5 * -8 + w * -8) + -1(2 + 6w) = -15w (40 + -8w) + -1(2 + 6w) = -15w 40 + -8w + (2 * -1 + 6w * -1) = -15w 40 + -8w + (-2 + -6w) = -15w Reorder the terms: 40 + -2 + -8w + -6w = -15w Combine like terms: 40 + -2 = 38 38 + -8w + -6w = -15w Combine like terms: -8w + -6w = -14w 38 + -14w = -15w Solving 38 + -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. 38 + -14w + 15w = -15w + 15w Combine like terms: -14w + 15w = 1w 38 + 1w = -15w + 15w Combine like terms: -15w + 15w = 0 38 + 1w = 0 Add '-38' to each side of the equation. 38 + -38 + 1w = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 1w = 0 + -38 1w = 0 + -38 Combine like terms: 0 + -38 = -38 1w = -38 Divide each side by '1'. w = -38 Simplifying w = -38
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