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Simplifying 5 + 13m + -2 = 9m + 47 + -7m Reorder the terms: 5 + -2 + 13m = 9m + 47 + -7m Combine like terms: 5 + -2 = 3 3 + 13m = 9m + 47 + -7m Reorder the terms: 3 + 13m = 47 + 9m + -7m Combine like terms: 9m + -7m = 2m 3 + 13m = 47 + 2m Solving 3 + 13m = 47 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 3 + 13m + -2m = 47 + 2m + -2m Combine like terms: 13m + -2m = 11m 3 + 11m = 47 + 2m + -2m Combine like terms: 2m + -2m = 0 3 + 11m = 47 + 0 3 + 11m = 47 Add '-3' to each side of the equation. 3 + -3 + 11m = 47 + -3 Combine like terms: 3 + -3 = 0 0 + 11m = 47 + -3 11m = 47 + -3 Combine like terms: 47 + -3 = 44 11m = 44 Divide each side by '11'. m = 4 Simplifying m = 4
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