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Simplifying -2(3z + -9) + -2(4z + 3) + -3z = 0 Reorder the terms: -2(-9 + 3z) + -2(4z + 3) + -3z = 0 (-9 * -2 + 3z * -2) + -2(4z + 3) + -3z = 0 (18 + -6z) + -2(4z + 3) + -3z = 0 Reorder the terms: 18 + -6z + -2(3 + 4z) + -3z = 0 18 + -6z + (3 * -2 + 4z * -2) + -3z = 0 18 + -6z + (-6 + -8z) + -3z = 0 Reorder the terms: 18 + -6 + -6z + -8z + -3z = 0 Combine like terms: 18 + -6 = 12 12 + -6z + -8z + -3z = 0 Combine like terms: -6z + -8z = -14z 12 + -14z + -3z = 0 Combine like terms: -14z + -3z = -17z 12 + -17z = 0 Solving 12 + -17z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -17z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -17z = 0 + -12 -17z = 0 + -12 Combine like terms: 0 + -12 = -12 -17z = -12 Divide each side by '-17'. z = 0.7058823529 Simplifying z = 0.7058823529
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