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Simplifying 6m + -4 + 10 = 3m + -12 + -3 Reorder the terms: -4 + 10 + 6m = 3m + -12 + -3 Combine like terms: -4 + 10 = 6 6 + 6m = 3m + -12 + -3 Reorder the terms: 6 + 6m = -12 + -3 + 3m Combine like terms: -12 + -3 = -15 6 + 6m = -15 + 3m Solving 6 + 6m = -15 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 6 + 6m + -3m = -15 + 3m + -3m Combine like terms: 6m + -3m = 3m 6 + 3m = -15 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + 3m = -15 + 0 6 + 3m = -15 Add '-6' to each side of the equation. 6 + -6 + 3m = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 3m = -15 + -6 3m = -15 + -6 Combine like terms: -15 + -6 = -21 3m = -21 Divide each side by '3'. m = -7 Simplifying m = -7
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