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Simplifying 3(5z + -3) + -2(z + -9) = 0 Reorder the terms: 3(-3 + 5z) + -2(z + -9) = 0 (-3 * 3 + 5z * 3) + -2(z + -9) = 0 (-9 + 15z) + -2(z + -9) = 0 Reorder the terms: -9 + 15z + -2(-9 + z) = 0 -9 + 15z + (-9 * -2 + z * -2) = 0 -9 + 15z + (18 + -2z) = 0 Reorder the terms: -9 + 18 + 15z + -2z = 0 Combine like terms: -9 + 18 = 9 9 + 15z + -2z = 0 Combine like terms: 15z + -2z = 13z 9 + 13z = 0 Solving 9 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 13z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 13z = 0 + -9 13z = 0 + -9 Combine like terms: 0 + -9 = -9 13z = -9 Divide each side by '13'. z = -0.6923076923 Simplifying z = -0.6923076923
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