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Simplifying 4m + 12 = 6m + -4 Reorder the terms: 12 + 4m = 6m + -4 Reorder the terms: 12 + 4m = -4 + 6m Solving 12 + 4m = -4 + 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. 12 + 4m + -6m = -4 + 6m + -6m Combine like terms: 4m + -6m = -2m 12 + -2m = -4 + 6m + -6m Combine like terms: 6m + -6m = 0 12 + -2m = -4 + 0 12 + -2m = -4 Add '-12' to each side of the equation. 12 + -12 + -2m = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2m = -4 + -12 -2m = -4 + -12 Combine like terms: -4 + -12 = -16 -2m = -16 Divide each side by '-2'. m = 8 Simplifying m = 8
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