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Simplifying 3 + 4m + -9 = 6m + -4 + 12 Reorder the terms: 3 + -9 + 4m = 6m + -4 + 12 Combine like terms: 3 + -9 = -6 -6 + 4m = 6m + -4 + 12 Reorder the terms: -6 + 4m = -4 + 12 + 6m Combine like terms: -4 + 12 = 8 -6 + 4m = 8 + 6m Solving -6 + 4m = 8 + 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. -6 + 4m + -6m = 8 + 6m + -6m Combine like terms: 4m + -6m = -2m -6 + -2m = 8 + 6m + -6m Combine like terms: 6m + -6m = 0 -6 + -2m = 8 + 0 -6 + -2m = 8 Add '6' to each side of the equation. -6 + 6 + -2m = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2m = 8 + 6 -2m = 8 + 6 Combine like terms: 8 + 6 = 14 -2m = 14 Divide each side by '-2'. m = -7 Simplifying m = -7
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