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Simplifying 9m + -3(m + 6) = 3(x + 9) + -10 Reorder the terms: 9m + -3(6 + m) = 3(x + 9) + -10 9m + (6 * -3 + m * -3) = 3(x + 9) + -10 9m + (-18 + -3m) = 3(x + 9) + -10 Reorder the terms: -18 + 9m + -3m = 3(x + 9) + -10 Combine like terms: 9m + -3m = 6m -18 + 6m = 3(x + 9) + -10 Reorder the terms: -18 + 6m = 3(9 + x) + -10 -18 + 6m = (9 * 3 + x * 3) + -10 -18 + 6m = (27 + 3x) + -10 Reorder the terms: -18 + 6m = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 -18 + 6m = 17 + 3x Solving -18 + 6m = 17 + 3x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6m = 17 + 18 + 3x Combine like terms: -18 + 18 = 0 0 + 6m = 17 + 18 + 3x 6m = 17 + 18 + 3x Combine like terms: 17 + 18 = 35 6m = 35 + 3x Divide each side by '6'. m = 5.833333333 + 0.5x Simplifying m = 5.833333333 + 0.5x
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