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Simplifying -2(-8w + 1) + -3w = 5(w + -2) + -6 Reorder the terms: -2(1 + -8w) + -3w = 5(w + -2) + -6 (1 * -2 + -8w * -2) + -3w = 5(w + -2) + -6 (-2 + 16w) + -3w = 5(w + -2) + -6 Combine like terms: 16w + -3w = 13w -2 + 13w = 5(w + -2) + -6 Reorder the terms: -2 + 13w = 5(-2 + w) + -6 -2 + 13w = (-2 * 5 + w * 5) + -6 -2 + 13w = (-10 + 5w) + -6 Reorder the terms: -2 + 13w = -10 + -6 + 5w Combine like terms: -10 + -6 = -16 -2 + 13w = -16 + 5w Solving -2 + 13w = -16 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -2 + 13w + -5w = -16 + 5w + -5w Combine like terms: 13w + -5w = 8w -2 + 8w = -16 + 5w + -5w Combine like terms: 5w + -5w = 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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