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Simplifying 4m + 13 = 7m + -2 Reorder the terms: 13 + 4m = 7m + -2 Reorder the terms: 13 + 4m = -2 + 7m Solving 13 + 4m = -2 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 13 + 4m + -7m = -2 + 7m + -7m Combine like terms: 4m + -7m = -3m 13 + -3m = -2 + 7m + -7m Combine like terms: 7m + -7m = 0 13 + -3m = -2 + 0 13 + -3m = -2 Add '-13' to each side of the equation. 13 + -13 + -3m = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -3m = -2 + -13 -3m = -2 + -13 Combine like terms: -2 + -13 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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