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Simplifying -7(-3w + 3) + -8w = 3(w + -7) + -5 Reorder the terms: -7(3 + -3w) + -8w = 3(w + -7) + -5 (3 * -7 + -3w * -7) + -8w = 3(w + -7) + -5 (-21 + 21w) + -8w = 3(w + -7) + -5 Combine like terms: 21w + -8w = 13w -21 + 13w = 3(w + -7) + -5 Reorder the terms: -21 + 13w = 3(-7 + w) + -5 -21 + 13w = (-7 * 3 + w * 3) + -5 -21 + 13w = (-21 + 3w) + -5 Reorder the terms: -21 + 13w = -21 + -5 + 3w Combine like terms: -21 + -5 = -26 -21 + 13w = -26 + 3w Solving -21 + 13w = -26 + 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. -21 + 13w + -3w = -26 + 3w + -3w Combine like terms: 13w + -3w = 10w -21 + 10w = -26 + 3w + -3w Combine like terms: 3w + -3w = 0 -21 + 10w = -26 + 0 -21 + 10w = -26 Add '21' to each side of the equation. -21 + 21 + 10w = -26 + 21 Combine like terms: -21 + 21 = 0 0 + 10w = -26 + 21 10w = -26 + 21 Combine like terms: -26 + 21 = -5 10w = -5 Divide each side by '10'. w = -0.5 Simplifying w = -0.5
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