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Simplifying 8m + 7n = 4m + 23n Solving 8m + 7n = 4m + 23n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 8m + -4m + 7n = 4m + -4m + 23n Combine like terms: 8m + -4m = 4m 4m + 7n = 4m + -4m + 23n Combine like terms: 4m + -4m = 0 4m + 7n = 0 + 23n 4m + 7n = 23n Add '-7n' to each side of the equation. 4m + 7n + -7n = 23n + -7n Combine like terms: 7n + -7n = 0 4m + 0 = 23n + -7n 4m = 23n + -7n Combine like terms: 23n + -7n = 16n 4m = 16n Divide each side by '4'. m = 4n Simplifying m = 4n
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