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Simplifying 9((4(z + -4) + 15) + -1(3(5z + -3) + 3)) = 0 Reorder the terms: 9((4(-4 + z) + 15) + -1(3(5z + -3) + 3)) = 0 9(((-4 * 4 + z * 4) + 15) + -1(3(5z + -3) + 3)) = 0 9(((-16 + 4z) + 15) + -1(3(5z + -3) + 3)) = 0 Reorder the terms: 9((-16 + 15 + 4z) + -1(3(5z + -3) + 3)) = 0 Combine like terms: -16 + 15 = -1 9((-1 + 4z) + -1(3(5z + -3) + 3)) = 0 Remove parenthesis around (-1 + 4z) 9(-1 + 4z + -1(3(5z + -3) + 3)) = 0 Reorder the terms: 9(-1 + 4z + -1(3(-3 + 5z) + 3)) = 0 9(-1 + 4z + -1((-3 * 3 + 5z * 3) + 3)) = 0 9(-1 + 4z + -1((-9 + 15z) + 3)) = 0 Reorder the terms: 9(-1 + 4z + -1(-9 + 3 + 15z)) = 0 Combine like terms: -9 + 3 = -6 9(-1 + 4z + -1(-6 + 15z)) = 0 9(-1 + 4z + (-6 * -1 + 15z * -1)) = 0 9(-1 + 4z + (6 + -15z)) = 0 Reorder the terms: 9(-1 + 6 + 4z + -15z) = 0 Combine like terms: -1 + 6 = 5 9(5 + 4z + -15z) = 0 Combine like terms: 4z + -15z = -11z 9(5 + -11z) = 0 (5 * 9 + -11z * 9) = 0 (45 + -99z) = 0 Solving 45 + -99z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -99z = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -99z = 0 + -45 -99z = 0 + -45 Combine like terms: 0 + -45 = -45 -99z = -45 Divide each side by '-99'. z = 0.4545454545 Simplifying z = 0.4545454545
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