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Simplifying 5(9z + -5) + -1[2(2z + -3) + 2] = 0 Reorder the terms: 5(-5 + 9z) + -1[2(2z + -3) + 2] = 0 (-5 * 5 + 9z * 5) + -1[2(2z + -3) + 2] = 0 (-25 + 45z) + -1[2(2z + -3) + 2] = 0 Reorder the terms: -25 + 45z + -1[2(-3 + 2z) + 2] = 0 -25 + 45z + -1[(-3 * 2 + 2z * 2) + 2] = 0 -25 + 45z + -1[(-6 + 4z) + 2] = 0 Reorder the terms: -25 + 45z + -1[-6 + 2 + 4z] = 0 Combine like terms: -6 + 2 = -4 -25 + 45z + -1[-4 + 4z] = 0 -25 + 45z + [-4 * -1 + 4z * -1] = 0 -25 + 45z + [4 + -4z] = 0 Reorder the terms: -25 + 4 + 45z + -4z = 0 Combine like terms: -25 + 4 = -21 -21 + 45z + -4z = 0 Combine like terms: 45z + -4z = 41z -21 + 41z = 0 Solving -21 + 41z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 41z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 41z = 0 + 21 41z = 0 + 21 Combine like terms: 0 + 21 = 21 41z = 21 Divide each side by '41'. z = 0.512195122 Simplifying z = 0.512195122
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