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Simplifying 4m + -1[3m + -1(m + 1)] + 6m = 9 Reorder the terms: 4m + -1[3m + -1(1 + m)] + 6m = 9 4m + -1[3m + (1 * -1 + m * -1)] + 6m = 9 4m + -1[3m + (-1 + -1m)] + 6m = 9 Reorder the terms: 4m + -1[-1 + 3m + -1m] + 6m = 9 Combine like terms: 3m + -1m = 2m 4m + -1[-1 + 2m] + 6m = 9 4m + [-1 * -1 + 2m * -1] + 6m = 9 4m + [1 + -2m] + 6m = 9 Reorder the terms: 1 + 4m + -2m + 6m = 9 Combine like terms: 4m + -2m = 2m 1 + 2m + 6m = 9 Combine like terms: 2m + 6m = 8m 1 + 8m = 9 Solving 1 + 8m = 9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. 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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