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Simplifying 3 + -2m = 4m + 45 Reorder the terms: 3 + -2m = 45 + 4m Solving 3 + -2m = 45 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 3 + -2m + -4m = 45 + 4m + -4m Combine like terms: -2m + -4m = -6m 3 + -6m = 45 + 4m + -4m Combine like terms: 4m + -4m = 0 3 + -6m = 45 + 0 3 + -6m = 45 Add '-3' to each side of the equation. 3 + -3 + -6m = 45 + -3 Combine like terms: 3 + -3 = 0 0 + -6m = 45 + -3 -6m = 45 + -3 Combine like terms: 45 + -3 = 42 -6m = 42 Divide each side by '-6'. m = -7 Simplifying m = -7
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