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Simplifying -10(-9z + -6 + 2m) = 0 Reorder the terms: -10(-6 + 2m + -9z) = 0 (-6 * -10 + 2m * -10 + -9z * -10) = 0 (60 + -20m + 90z) = 0 Solving 60 + -20m + 90z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -20m + -60 + 90z = 0 + -60 Reorder the terms: 60 + -60 + -20m + 90z = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -20m + 90z = 0 + -60 -20m + 90z = 0 + -60 Combine like terms: 0 + -60 = -60 -20m + 90z = -60 Add '-90z' to each side of the equation. -20m + 90z + -90z = -60 + -90z Combine like terms: 90z + -90z = 0 -20m + 0 = -60 + -90z -20m = -60 + -90z Divide each side by '-20'. m = 3 + 4.5z Simplifying m = 3 + 4.5z
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