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Simplifying 0.75(8z + -12) = 0.833333333(12z + -18) Reorder the terms: 0.75(-12 + 8z) = 0.833333333(12z + -18) (-12 * 0.75 + 8z * 0.75) = 0.833333333(12z + -18) (-9 + 6z) = 0.833333333(12z + -18) Reorder the terms: -9 + 6z = 0.833333333(-18 + 12z) -9 + 6z = (-18 * 0.833333333 + 12z * 0.833333333) -9 + 6z = (-14.99999999 + 9.999999996z) Solving -9 + 6z = -14.99999999 + 9.999999996z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9.999999996z' to each side of the equation. -9 + 6z + -9.999999996z = -14.99999999 + 9.999999996z + -9.999999996z Combine like terms: 6z + -9.999999996z = -3.999999996z -9 + -3.999999996z = -14.99999999 + 9.999999996z + -9.999999996z Combine like terms: 9.999999996z + -9.999999996z = 0.000000000 -9 + -3.999999996z = -14.99999999 + 0.000000000 -9 + -3.999999996z = -14.99999999 Add '9' to each side of the equation. -9 + 9 + -3.999999996z = -14.99999999 + 9 Combine like terms: -9 + 9 = 0 0 + -3.999999996z = -14.99999999 + 9 -3.999999996z = -14.99999999 + 9 Combine like terms: -14.99999999 + 9 = -5.99999999 -3.999999996z = -5.99999999 Divide each side by '-3.999999996'. z = 1.499999999 Simplifying z = 1.499999999
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