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Simplifying 5 + 3m + -6m = 11 + m + -7m Combine like terms: 3m + -6m = -3m 5 + -3m = 11 + m + -7m Combine like terms: m + -7m = -6m 5 + -3m = 11 + -6m Solving 5 + -3m = 11 + -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. 5 + -3m + 6m = 11 + -6m + 6m Combine like terms: -3m + 6m = 3m 5 + 3m = 11 + -6m + 6m Combine like terms: -6m + 6m = 0 5 + 3m = 11 + 0 5 + 3m = 11 Add '-5' to each side of the equation. 5 + -5 + 3m = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = 11 + -5 3m = 11 + -5 Combine like terms: 11 + -5 = 6 3m = 6 Divide each side by '3'. m = 2 Simplifying m = 2
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