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Simplifying 0.75(24 + -8z) + -16 = -0.666666667(6z + -9) (24 * 0.75 + -8z * 0.75) + -16 = -0.666666667(6z + -9) (18 + -6z) + -16 = -0.666666667(6z + -9) Reorder the terms: 18 + -16 + -6z = -0.666666667(6z + -9) Combine like terms: 18 + -16 = 2 2 + -6z = -0.666666667(6z + -9) Reorder the terms: 2 + -6z = -0.666666667(-9 + 6z) 2 + -6z = (-9 * -0.666666667 + 6z * -0.666666667) 2 + -6z = (6.000000003 + -4.000000002z) Solving 2 + -6z = 6.000000003 + -4.000000002z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4.000000002z' to each side of the equation. 2 + -6z + 4.000000002z = 6.000000003 + -4.000000002z + 4.000000002z Combine like terms: -6z + 4.000000002z = -1.999999998z 2 + -1.999999998z = 6.000000003 + -4.000000002z + 4.000000002z Combine like terms: -4.000000002z + 4.000000002z = 0.000000000 2 + -1.999999998z = 6.000000003 + 0.000000000 2 + -1.999999998z = 6.000000003 Add '-2' to each side of the equation. 2 + -2 + -1.999999998z = 6.000000003 + -2 Combine like terms: 2 + -2 = 0 0 + -1.999999998z = 6.000000003 + -2 -1.999999998z = 6.000000003 + -2 Combine like terms: 6.000000003 + -2 = 4.000000003 -1.999999998z = 4.000000003 Divide each side by '-1.999999998'. z = -2.000000004 Simplifying z = -2.000000004
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