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Simplifying -10z + 9(4 + 3x) = 0 -10z + (4 * 9 + 3x * 9) = 0 -10z + (36 + 27x) = 0 Reorder the terms: 36 + 27x + -10z = 0 Solving 36 + 27x + -10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 27x + -36 + -10z = 0 + -36 Reorder the terms: 36 + -36 + 27x + -10z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 27x + -10z = 0 + -36 27x + -10z = 0 + -36 Combine like terms: 0 + -36 = -36 27x + -10z = -36 Add '10z' to each side of the equation. 27x + -10z + 10z = -36 + 10z Combine like terms: -10z + 10z = 0 27x + 0 = -36 + 10z 27x = -36 + 10z Divide each side by '27'. x = -1.333333333 + 0.3703703704z Simplifying x = -1.333333333 + 0.3703703704z
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