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Simplifying 36 = 8(w + -6) + 6w Reorder the terms: 36 = 8(-6 + w) + 6w 36 = (-6 * 8 + w * 8) + 6w 36 = (-48 + 8w) + 6w Combine like terms: 8w + 6w = 14w 36 = -48 + 14w Solving 36 = -48 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 36 + -14w = -48 + 14w + -14w Combine like terms: 14w + -14w = 0 36 + -14w = -48 + 0 36 + -14w = -48 Add '-36' to each side of the equation. 36 + -36 + -14w = -48 + -36 Combine like terms: 36 + -36 = 0 0 + -14w = -48 + -36 -14w = -48 + -36 Combine like terms: -48 + -36 = -84 -14w = -84 Divide each side by '-14'. w = 6 Simplifying w = 6
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