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Simplifying -2(4z + -1) + -3(z + -9) + -15z = 0 Reorder the terms: -2(-1 + 4z) + -3(z + -9) + -15z = 0 (-1 * -2 + 4z * -2) + -3(z + -9) + -15z = 0 (2 + -8z) + -3(z + -9) + -15z = 0 Reorder the terms: 2 + -8z + -3(-9 + z) + -15z = 0 2 + -8z + (-9 * -3 + z * -3) + -15z = 0 2 + -8z + (27 + -3z) + -15z = 0 Reorder the terms: 2 + 27 + -8z + -3z + -15z = 0 Combine like terms: 2 + 27 = 29 29 + -8z + -3z + -15z = 0 Combine like terms: -8z + -3z = -11z 29 + -11z + -15z = 0 Combine like terms: -11z + -15z = -26z 29 + -26z = 0 Solving 29 + -26z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -26z = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -26z = 0 + -29 -26z = 0 + -29 Combine like terms: 0 + -29 = -29 -26z = -29 Divide each side by '-26'. z = 1.115384615 Simplifying z = 1.115384615
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