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Simplifying 7m + 10 + -7m = 4 + -7m + 4m + -9 Reorder the terms: 10 + 7m + -7m = 4 + -7m + 4m + -9 Combine like terms: 7m + -7m = 0 10 + 0 = 4 + -7m + 4m + -9 10 = 4 + -7m + 4m + -9 Reorder the terms: 10 = 4 + -9 + -7m + 4m Combine like terms: 4 + -9 = -5 10 = -5 + -7m + 4m Combine like terms: -7m + 4m = -3m 10 = -5 + -3m Solving 10 = -5 + -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. 10 + 3m = -5 + -3m + 3m Combine like terms: -3m + 3m = 0 10 + 3m = -5 + 0 10 + 3m = -5 Add '-10' to each side of the equation. 10 + -10 + 3m = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 3m = -5 + -10 3m = -5 + -10 Combine like terms: -5 + -10 = -15 3m = -15 Divide each side by '3'. m = -5 Simplifying m = -5
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