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Simplifying 10m + 15 = 12m + 3 + -6m + -4 Reorder the terms: 15 + 10m = 12m + 3 + -6m + -4 Reorder the terms: 15 + 10m = 3 + -4 + 12m + -6m Combine like terms: 3 + -4 = -1 15 + 10m = -1 + 12m + -6m Combine like terms: 12m + -6m = 6m 15 + 10m = -1 + 6m Solving 15 + 10m = -1 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 15 + 10m + -6m = -1 + 6m + -6m Combine like terms: 10m + -6m = 4m 15 + 4m = -1 + 6m + -6m Combine like terms: 6m + -6m = 0 15 + 4m = -1 + 0 15 + 4m = -1 Add '-15' to each side of the equation. 15 + -15 + 4m = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 4m = -1 + -15 4m = -1 + -15 Combine like terms: -1 + -15 = -16 4m = -16 Divide each side by '4'. m = -4 Simplifying m = -4
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