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Simplifying 5m + -2(6m + -5) + 2 = 54 Reorder the terms: 5m + -2(-5 + 6m) + 2 = 54 5m + (-5 * -2 + 6m * -2) + 2 = 54 5m + (10 + -12m) + 2 = 54 Reorder the terms: 10 + 2 + 5m + -12m = 54 Combine like terms: 10 + 2 = 12 12 + 5m + -12m = 54 Combine like terms: 5m + -12m = -7m 12 + -7m = 54 Solving 12 + -7m = 54 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7m = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -7m = 54 + -12 -7m = 54 + -12 Combine like terms: 54 + -12 = 42 -7m = 42 Divide each side by '-7'. m = -6 Simplifying m = -6
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