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Simplifying -1(3w + 4) + 5(w + -2) + -3(6w + -8) = 18 Reorder the terms: -1(4 + 3w) + 5(w + -2) + -3(6w + -8) = 18 (4 * -1 + 3w * -1) + 5(w + -2) + -3(6w + -8) = 18 (-4 + -3w) + 5(w + -2) + -3(6w + -8) = 18 Reorder the terms: -4 + -3w + 5(-2 + w) + -3(6w + -8) = 18 -4 + -3w + (-2 * 5 + w * 5) + -3(6w + -8) = 18 -4 + -3w + (-10 + 5w) + -3(6w + -8) = 18 Reorder the terms: -4 + -3w + -10 + 5w + -3(-8 + 6w) = 18 -4 + -3w + -10 + 5w + (-8 * -3 + 6w * -3) = 18 -4 + -3w + -10 + 5w + (24 + -18w) = 18 Reorder the terms: -4 + -10 + 24 + -3w + 5w + -18w = 18 Combine like terms: -4 + -10 = -14 -14 + 24 + -3w + 5w + -18w = 18 Combine like terms: -14 + 24 = 10 10 + -3w + 5w + -18w = 18 Combine like terms: -3w + 5w = 2w 10 + 2w + -18w = 18 Combine like terms: 2w + -18w = -16w 10 + -16w = 18 Solving 10 + -16w = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -16w = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -16w = 18 + -10 -16w = 18 + -10 Combine like terms: 18 + -10 = 8 -16w = 8 Divide each side by '-16'. w = -0.5 Simplifying w = -0.5
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