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Simplifying -2(-9w + 1) + -7w = 3(w + -5) + -1 Reorder the terms: -2(1 + -9w) + -7w = 3(w + -5) + -1 (1 * -2 + -9w * -2) + -7w = 3(w + -5) + -1 (-2 + 18w) + -7w = 3(w + -5) + -1 Combine like terms: 18w + -7w = 11w -2 + 11w = 3(w + -5) + -1 Reorder the terms: -2 + 11w = 3(-5 + w) + -1 -2 + 11w = (-5 * 3 + w * 3) + -1 -2 + 11w = (-15 + 3w) + -1 Reorder the terms: -2 + 11w = -15 + -1 + 3w Combine like terms: -15 + -1 = -16 -2 + 11w = -16 + 3w Solving -2 + 11w = -16 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -2 + 11w + -3w = -16 + 3w + -3w Combine like terms: 11w + -3w = 8w -2 + 8w = -16 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + 8w = -16 + 0 -2 + 8w = -16 Add '2' to each side of the equation. -2 + 2 + 8w = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 8w = -16 + 2 8w = -16 + 2 Combine like terms: -16 + 2 = -14 8w = -14 Divide each side by '8'. w = -1.75 Simplifying w = -1.75
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