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Simplifying 2m + 7 = 4m + -3 Reorder the terms: 7 + 2m = 4m + -3 Reorder the terms: 7 + 2m = -3 + 4m Solving 7 + 2m = -3 + 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. 7 + 2m + -4m = -3 + 4m + -4m Combine like terms: 2m + -4m = -2m 7 + -2m = -3 + 4m + -4m Combine like terms: 4m + -4m = 0 7 + -2m = -3 + 0 7 + -2m = -3 Add '-7' to each side of the equation. 7 + -7 + -2m = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = -3 + -7 -2m = -3 + -7 Combine like terms: -3 + -7 = -10 -2m = -10 Divide each side by '-2'. m = 5 Simplifying m = 5
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