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Simplifying (3w + 4) + 5(w + -2) + -3(6w + -8) = 10 Reorder the terms: (4 + 3w) + 5(w + -2) + -3(6w + -8) = 10 Remove parenthesis around (4 + 3w) 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 = 18 18 + 3w + 5w + -18w = 10 Combine like terms: 3w + 5w = 8w 18 + 8w + -18w = 10 Combine like terms: 8w + -18w = -10w 18 + -10w = 10 Solving 18 + -10w = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -10w = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -10w = 10 + -18 -10w = 10 + -18 Combine like terms: 10 + -18 = -8 -10w = -8 Divide each side by '-10'. w = 0.8 Simplifying w = 0.8
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