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Simplifying -1(3w + 4) + 5(w + 2) + -3(6w + -8) = 10 Reorder the terms: -1(4 + 3w) + 5(w + 2) + -3(6w + -8) = 10 (4 * -1 + 3w * -1) + 5(w + 2) + -3(6w + -8) = 10 (-4 + -3w) + 5(w + 2) + -3(6w + -8) = 10 Reorder the terms: -4 + -3w + 5(2 + w) + -3(6w + -8) = 10 -4 + -3w + (2 * 5 + w * 5) + -3(6w + -8) = 10 -4 + -3w + (10 + 5w) + -3(6w + -8) = 10 Reorder the terms: -4 + -3w + 10 + 5w + -3(-8 + 6w) = 10 -4 + -3w + 10 + 5w + (-8 * -3 + 6w * -3) = 10 -4 + -3w + 10 + 5w + (24 + -18w) = 10 Reorder the terms: -4 + 10 + 24 + -3w + 5w + -18w = 10 Combine like terms: -4 + 10 = 6 6 + 24 + -3w + 5w + -18w = 10 Combine like terms: 6 + 24 = 30 30 + -3w + 5w + -18w = 10 Combine like terms: -3w + 5w = 2w 30 + 2w + -18w = 10 Combine like terms: 2w + -18w = -16w 30 + -16w = 10 Solving 30 + -16w = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -16w = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -16w = 10 + -30 -16w = 10 + -30 Combine like terms: 10 + -30 = -20 -16w = -20 Divide each side by '-16'. w = 1.25 Simplifying w = 1.25
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