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Simplifying 4m + 9 = 2m + -7 Reorder the terms: 9 + 4m = 2m + -7 Reorder the terms: 9 + 4m = -7 + 2m Solving 9 + 4m = -7 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 9 + 4m + -2m = -7 + 2m + -2m Combine like terms: 4m + -2m = 2m 9 + 2m = -7 + 2m + -2m Combine like terms: 2m + -2m = 0 9 + 2m = -7 + 0 9 + 2m = -7 Add '-9' to each side of the equation. 9 + -9 + 2m = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = -7 + -9 2m = -7 + -9 Combine like terms: -7 + -9 = -16 2m = -16 Divide each side by '2'. m = -8 Simplifying m = -8
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