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Simplifying 6m + 7 = 3(2m + -3) + -4(-10 + 4m) Reorder the terms: 7 + 6m = 3(2m + -3) + -4(-10 + 4m) Reorder the terms: 7 + 6m = 3(-3 + 2m) + -4(-10 + 4m) 7 + 6m = (-3 * 3 + 2m * 3) + -4(-10 + 4m) 7 + 6m = (-9 + 6m) + -4(-10 + 4m) 7 + 6m = -9 + 6m + (-10 * -4 + 4m * -4) 7 + 6m = -9 + 6m + (40 + -16m) Reorder the terms: 7 + 6m = -9 + 40 + 6m + -16m Combine like terms: -9 + 40 = 31 7 + 6m = 31 + 6m + -16m Combine like terms: 6m + -16m = -10m 7 + 6m = 31 + -10m Solving 7 + 6m = 31 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 7 + 6m + 10m = 31 + -10m + 10m Combine like terms: 6m + 10m = 16m 7 + 16m = 31 + -10m + 10m Combine like terms: -10m + 10m = 0 7 + 16m = 31 + 0 7 + 16m = 31 Add '-7' to each side of the equation. 7 + -7 + 16m = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 16m = 31 + -7 16m = 31 + -7 Combine like terms: 31 + -7 = 24 16m = 24 Divide each side by '16'. m = 1.5 Simplifying m = 1.5
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