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Simplifying -9[6m + -3] + 6[1 + 4m] = 0 Reorder the terms: -9[-3 + 6m] + 6[1 + 4m] = 0 [-3 * -9 + 6m * -9] + 6[1 + 4m] = 0 [27 + -54m] + 6[1 + 4m] = 0 27 + -54m + [1 * 6 + 4m * 6] = 0 27 + -54m + [6 + 24m] = 0 Reorder the terms: 27 + 6 + -54m + 24m = 0 Combine like terms: 27 + 6 = 33 33 + -54m + 24m = 0 Combine like terms: -54m + 24m = -30m 33 + -30m = 0 Solving 33 + -30m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -30m = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -30m = 0 + -33 -30m = 0 + -33 Combine like terms: 0 + -33 = -33 -30m = -33 Divide each side by '-30'. m = 1.1 Simplifying m = 1.1
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