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Simplifying 7 + 3m = 10 + 6m Solving 7 + 3m = 10 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 7 + 3m + -6m = 10 + 6m + -6m Combine like terms: 3m + -6m = -3m 7 + -3m = 10 + 6m + -6m Combine like terms: 6m + -6m = 0 7 + -3m = 10 + 0 7 + -3m = 10 Add '-7' to each side of the equation. 7 + -7 + -3m = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 10 + -7 -3m = 10 + -7 Combine like terms: 10 + -7 = 3 -3m = 3 Divide each side by '-3'. m = -1 Simplifying m = -1
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