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Simplifying 5m + (m + 1) = 2m + 9 Reorder the terms: 5m + (1 + m) = 2m + 9 Remove parenthesis around (1 + m) 5m + 1 + m = 2m + 9 Reorder the terms: 1 + 5m + m = 2m + 9 Combine like terms: 5m + m = 6m 1 + 6m = 2m + 9 Reorder the terms: 1 + 6m = 9 + 2m Solving 1 + 6m = 9 + 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. 1 + 6m + -2m = 9 + 2m + -2m Combine like terms: 6m + -2m = 4m 1 + 4m = 9 + 2m + -2m Combine like terms: 2m + -2m = 0 1 + 4m = 9 + 0 1 + 4m = 9 Add '-1' to each side of the equation. 1 + -1 + 4m = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4m = 9 + -1 4m = 9 + -1 Combine like terms: 9 + -1 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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