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Simplifying 10(3m + 7w) = 8(6m + 4w) (3m * 10 + 7w * 10) = 8(6m + 4w) (30m + 70w) = 8(6m + 4w) 30m + 70w = (6m * 8 + 4w * 8) 30m + 70w = (48m + 32w) Solving 30m + 70w = 48m + 32w Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48m' to each side of the equation. 30m + -48m + 70w = 48m + -48m + 32w Combine like terms: 30m + -48m = -18m -18m + 70w = 48m + -48m + 32w Combine like terms: 48m + -48m = 0 -18m + 70w = 0 + 32w -18m + 70w = 32w Add '-70w' to each side of the equation. -18m + 70w + -70w = 32w + -70w Combine like terms: 70w + -70w = 0 -18m + 0 = 32w + -70w -18m = 32w + -70w Combine like terms: 32w + -70w = -38w -18m = -38w Divide each side by '-18'. m = 2.111111111w Simplifying m = 2.111111111w
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