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Simplifying 1 + 2m = 9 + -6m Solving 1 + 2m = 9 + -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. 1 + 2m + 6m = 9 + -6m + 6m Combine like terms: 2m + 6m = 8m 1 + 8m = 9 + -6m + 6m Combine like terms: -6m + 6m = 0 1 + 8m = 9 + 0 1 + 8m = 9 Add '-1' to each side of the equation. 1 + -1 + 8m = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8m = 9 + -1 8m = 9 + -1 Combine like terms: 9 + -1 = 8 8m = 8 Divide each side by '8'. m = 1 Simplifying m = 1
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