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Simplifying 5m + -4(6m + -7) = 9m + 3(2m + -7) + -2 Reorder the terms: 5m + -4(-7 + 6m) = 9m + 3(2m + -7) + -2 5m + (-7 * -4 + 6m * -4) = 9m + 3(2m + -7) + -2 5m + (28 + -24m) = 9m + 3(2m + -7) + -2 Reorder the terms: 28 + 5m + -24m = 9m + 3(2m + -7) + -2 Combine like terms: 5m + -24m = -19m 28 + -19m = 9m + 3(2m + -7) + -2 Reorder the terms: 28 + -19m = 9m + 3(-7 + 2m) + -2 28 + -19m = 9m + (-7 * 3 + 2m * 3) + -2 28 + -19m = 9m + (-21 + 6m) + -2 Reorder the terms: 28 + -19m = -21 + -2 + 9m + 6m Combine like terms: -21 + -2 = -23 28 + -19m = -23 + 9m + 6m Combine like terms: 9m + 6m = 15m 28 + -19m = -23 + 15m Solving 28 + -19m = -23 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 28 + -19m + -15m = -23 + 15m + -15m Combine like terms: -19m + -15m = -34m 28 + -34m = -23 + 15m + -15m Combine like terms: 15m + -15m = 0 28 + -34m = -23 + 0 28 + -34m = -23 Add '-28' to each side of the equation. 28 + -28 + -34m = -23 + -28 Combine like terms: 28 + -28 = 0 0 + -34m = -23 + -28 -34m = -23 + -28 Combine like terms: -23 + -28 = -51 -34m = -51 Divide each side by '-34'. m = 1.5 Simplifying m = 1.5
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