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Simplifying 9(x + 5m + 6) = 0 Reorder the terms: 9(6 + 5m + x) = 0 (6 * 9 + 5m * 9 + x * 9) = 0 (54 + 45m + 9x) = 0 Solving 54 + 45m + 9x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + 45m + -54 + 9x = 0 + -54 Reorder the terms: 54 + -54 + 45m + 9x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 45m + 9x = 0 + -54 45m + 9x = 0 + -54 Combine like terms: 0 + -54 = -54 45m + 9x = -54 Add '-9x' to each side of the equation. 45m + 9x + -9x = -54 + -9x Combine like terms: 9x + -9x = 0 45m + 0 = -54 + -9x 45m = -54 + -9x Divide each side by '45'. m = -1.2 + -0.2x Simplifying m = -1.2 + -0.2x
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