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Simplifying 3(w + -2) + -5 = -3(-8w + 1) + -7w Reorder the terms: 3(-2 + w) + -5 = -3(-8w + 1) + -7w (-2 * 3 + w * 3) + -5 = -3(-8w + 1) + -7w (-6 + 3w) + -5 = -3(-8w + 1) + -7w Reorder the terms: -6 + -5 + 3w = -3(-8w + 1) + -7w Combine like terms: -6 + -5 = -11 -11 + 3w = -3(-8w + 1) + -7w Reorder the terms: -11 + 3w = -3(1 + -8w) + -7w -11 + 3w = (1 * -3 + -8w * -3) + -7w -11 + 3w = (-3 + 24w) + -7w Combine like terms: 24w + -7w = 17w -11 + 3w = -3 + 17w Solving -11 + 3w = -3 + 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. -11 + 3w + -17w = -3 + 17w + -17w Combine like terms: 3w + -17w = -14w -11 + -14w = -3 + 17w + -17w Combine like terms: 17w + -17w = 0 -11 + -14w = -3 + 0 -11 + -14w = -3 Add '11' to each side of the equation. -11 + 11 + -14w = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -14w = -3 + 11 -14w = -3 + 11 Combine like terms: -3 + 11 = 8 -14w = 8 Divide each side by '-14'. w = -0.5714285714 Simplifying w = -0.5714285714
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