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Simplifying 6 + -4m + 7 = 10 + 3m Reorder the terms: 6 + 7 + -4m = 10 + 3m Combine like terms: 6 + 7 = 13 13 + -4m = 10 + 3m Solving 13 + -4m = 10 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 13 + -4m + -3m = 10 + 3m + -3m Combine like terms: -4m + -3m = -7m 13 + -7m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 13 + -7m = 10 + 0 13 + -7m = 10 Add '-13' to each side of the equation. 13 + -13 + -7m = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -7m = 10 + -13 -7m = 10 + -13 Combine like terms: 10 + -13 = -3 -7m = -3 Divide each side by '-7'. m = 0.4285714286 Simplifying m = 0.4285714286
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