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Simplifying 8 + 10m + -1 = 7m + 21 + -4m Reorder the terms: 8 + -1 + 10m = 7m + 21 + -4m Combine like terms: 8 + -1 = 7 7 + 10m = 7m + 21 + -4m Reorder the terms: 7 + 10m = 21 + 7m + -4m Combine like terms: 7m + -4m = 3m 7 + 10m = 21 + 3m Solving 7 + 10m = 21 + 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. 7 + 10m + -3m = 21 + 3m + -3m Combine like terms: 10m + -3m = 7m 7 + 7m = 21 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + 7m = 21 + 0 7 + 7m = 21 Add '-7' to each side of the equation. 7 + -7 + 7m = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 7m = 21 + -7 7m = 21 + -7 Combine like terms: 21 + -7 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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