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Simplifying -3(-5w + 8) + -1w = 6(w + -5) + -8 Reorder the terms: -3(8 + -5w) + -1w = 6(w + -5) + -8 (8 * -3 + -5w * -3) + -1w = 6(w + -5) + -8 (-24 + 15w) + -1w = 6(w + -5) + -8 Combine like terms: 15w + -1w = 14w -24 + 14w = 6(w + -5) + -8 Reorder the terms: -24 + 14w = 6(-5 + w) + -8 -24 + 14w = (-5 * 6 + w * 6) + -8 -24 + 14w = (-30 + 6w) + -8 Reorder the terms: -24 + 14w = -30 + -8 + 6w Combine like terms: -30 + -8 = -38 -24 + 14w = -38 + 6w Solving -24 + 14w = -38 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -24 + 14w + -6w = -38 + 6w + -6w Combine like terms: 14w + -6w = 8w -24 + 8w = -38 + 6w + -6w Combine like terms: 6w + -6w = 0 -24 + 8w = -38 + 0 -24 + 8w = -38 Add '24' to each side of the equation. -24 + 24 + 8w = -38 + 24 Combine like terms: -24 + 24 = 0 0 + 8w = -38 + 24 8w = -38 + 24 Combine like terms: -38 + 24 = -14 8w = -14 Divide each side by '8'. w = -1.75 Simplifying w = -1.75
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