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Simplifying -4(-3w + 2) + -1w = 3(w + -5) + -7 Reorder the terms: -4(2 + -3w) + -1w = 3(w + -5) + -7 (2 * -4 + -3w * -4) + -1w = 3(w + -5) + -7 (-8 + 12w) + -1w = 3(w + -5) + -7 Combine like terms: 12w + -1w = 11w -8 + 11w = 3(w + -5) + -7 Reorder the terms: -8 + 11w = 3(-5 + w) + -7 -8 + 11w = (-5 * 3 + w * 3) + -7 -8 + 11w = (-15 + 3w) + -7 Reorder the terms: -8 + 11w = -15 + -7 + 3w Combine like terms: -15 + -7 = -22 -8 + 11w = -22 + 3w Solving -8 + 11w = -22 + 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. -8 + 11w + -3w = -22 + 3w + -3w Combine like terms: 11w + -3w = 8w -8 + 8w = -22 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 8w = -22 + 0 -8 + 8w = -22 Add '8' to each side of the equation. -8 + 8 + 8w = -22 + 8 Combine like terms: -8 + 8 = 0 0 + 8w = -22 + 8 8w = -22 + 8 Combine like terms: -22 + 8 = -14 8w = -14 Divide each side by '8'. w = -1.75 Simplifying w = -1.75
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