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Simplifying -8(w + -6) = 6w + -36 Reorder the terms: -8(-6 + w) = 6w + -36 (-6 * -8 + w * -8) = 6w + -36 (48 + -8w) = 6w + -36 Reorder the terms: 48 + -8w = -36 + 6w Solving 48 + -8w = -36 + 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. 48 + -8w + -6w = -36 + 6w + -6w Combine like terms: -8w + -6w = -14w 48 + -14w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 48 + -14w = -36 + 0 48 + -14w = -36 Add '-48' to each side of the equation. 48 + -48 + -14w = -36 + -48 Combine like terms: 48 + -48 = 0 0 + -14w = -36 + -48 -14w = -36 + -48 Combine like terms: -36 + -48 = -84 -14w = -84 Divide each side by '-14'. w = 6 Simplifying w = 6
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