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Simplifying 5(9z + -5) + -1[2(5z + -3) + 1] = 0 Reorder the terms: 5(-5 + 9z) + -1[2(5z + -3) + 1] = 0 (-5 * 5 + 9z * 5) + -1[2(5z + -3) + 1] = 0 (-25 + 45z) + -1[2(5z + -3) + 1] = 0 Reorder the terms: -25 + 45z + -1[2(-3 + 5z) + 1] = 0 -25 + 45z + -1[(-3 * 2 + 5z * 2) + 1] = 0 -25 + 45z + -1[(-6 + 10z) + 1] = 0 Reorder the terms: -25 + 45z + -1[-6 + 1 + 10z] = 0 Combine like terms: -6 + 1 = -5 -25 + 45z + -1[-5 + 10z] = 0 -25 + 45z + [-5 * -1 + 10z * -1] = 0 -25 + 45z + [5 + -10z] = 0 Reorder the terms: -25 + 5 + 45z + -10z = 0 Combine like terms: -25 + 5 = -20 -20 + 45z + -10z = 0 Combine like terms: 45z + -10z = 35z -20 + 35z = 0 Solving -20 + 35z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 35z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 35z = 0 + 20 35z = 0 + 20 Combine like terms: 0 + 20 = 20 35z = 20 Divide each side by '35'. z = 0.5714285714 Simplifying z = 0.5714285714
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