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Simplifying 2(5m + -3) = 3m + 7 + -1m + 6 Reorder the terms: 2(-3 + 5m) = 3m + 7 + -1m + 6 (-3 * 2 + 5m * 2) = 3m + 7 + -1m + 6 (-6 + 10m) = 3m + 7 + -1m + 6 Reorder the terms: -6 + 10m = 7 + 6 + 3m + -1m Combine like terms: 7 + 6 = 13 -6 + 10m = 13 + 3m + -1m Combine like terms: 3m + -1m = 2m -6 + 10m = 13 + 2m Solving -6 + 10m = 13 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -6 + 10m + -2m = 13 + 2m + -2m Combine like terms: 10m + -2m = 8m -6 + 8m = 13 + 2m + -2m Combine like terms: 2m + -2m = 0 -6 + 8m = 13 + 0 -6 + 8m = 13 Add '6' to each side of the equation. -6 + 6 + 8m = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 8m = 13 + 6 8m = 13 + 6 Combine like terms: 13 + 6 = 19 8m = 19 Divide each side by '8'. m = 2.375 Simplifying m = 2.375
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