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Simplifying 0.33(12z + 6) + -1(z + -9) = 0 Reorder the terms: 0.33(6 + 12z) + -1(z + -9) = 0 (6 * 0.33 + 12z * 0.33) + -1(z + -9) = 0 (1.98 + 3.96z) + -1(z + -9) = 0 Reorder the terms: 1.98 + 3.96z + -1(-9 + z) = 0 1.98 + 3.96z + (-9 * -1 + z * -1) = 0 1.98 + 3.96z + (9 + -1z) = 0 Reorder the terms: 1.98 + 9 + 3.96z + -1z = 0 Combine like terms: 1.98 + 9 = 10.98 10.98 + 3.96z + -1z = 0 Combine like terms: 3.96z + -1z = 2.96z 10.98 + 2.96z = 0 Solving 10.98 + 2.96z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10.98' to each side of the equation. 10.98 + -10.98 + 2.96z = 0 + -10.98 Combine like terms: 10.98 + -10.98 = 0.00 0.00 + 2.96z = 0 + -10.98 2.96z = 0 + -10.98 Combine like terms: 0 + -10.98 = -10.98 2.96z = -10.98 Divide each side by '2.96'. z = -3.709459459 Simplifying z = -3.709459459
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