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Simplifying 3(w + -2) + -6 = -3(-8w + 8) + -7w Reorder the terms: 3(-2 + w) + -6 = -3(-8w + 8) + -7w (-2 * 3 + w * 3) + -6 = -3(-8w + 8) + -7w (-6 + 3w) + -6 = -3(-8w + 8) + -7w Reorder the terms: -6 + -6 + 3w = -3(-8w + 8) + -7w Combine like terms: -6 + -6 = -12 -12 + 3w = -3(-8w + 8) + -7w Reorder the terms: -12 + 3w = -3(8 + -8w) + -7w -12 + 3w = (8 * -3 + -8w * -3) + -7w -12 + 3w = (-24 + 24w) + -7w Combine like terms: 24w + -7w = 17w -12 + 3w = -24 + 17w Solving -12 + 3w = -24 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -12 + 3w + -17w = -24 + 17w + -17w Combine like terms: 3w + -17w = -14w -12 + -14w = -24 + 17w + -17w Combine like terms: 17w + -17w = 0 -12 + -14w = -24 + 0 -12 + -14w = -24 Add '12' to each side of the equation. -12 + 12 + -14w = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -14w = -24 + 12 -14w = -24 + 12 Combine like terms: -24 + 12 = -12 -14w = -12 Divide each side by '-14'. w = 0.8571428571 Simplifying w = 0.8571428571
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