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Simplifying -13 + 9m + 7 = -3m + 11 + -5m Reorder the terms: -13 + 7 + 9m = -3m + 11 + -5m Combine like terms: -13 + 7 = -6 -6 + 9m = -3m + 11 + -5m Reorder the terms: -6 + 9m = 11 + -3m + -5m Combine like terms: -3m + -5m = -8m -6 + 9m = 11 + -8m Solving -6 + 9m = 11 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -6 + 9m + 8m = 11 + -8m + 8m Combine like terms: 9m + 8m = 17m -6 + 17m = 11 + -8m + 8m Combine like terms: -8m + 8m = 0 -6 + 17m = 11 + 0 -6 + 17m = 11 Add '6' to each side of the equation. -6 + 6 + 17m = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 17m = 11 + 6 17m = 11 + 6 Combine like terms: 11 + 6 = 17 17m = 17 Divide each side by '17'. m = 1 Simplifying m = 1
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