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Simplifying 3(5 + -6z) = 14z + -2(1 + 2z) + 2 (5 * 3 + -6z * 3) = 14z + -2(1 + 2z) + 2 (15 + -18z) = 14z + -2(1 + 2z) + 2 15 + -18z = 14z + (1 * -2 + 2z * -2) + 2 15 + -18z = 14z + (-2 + -4z) + 2 Reorder the terms: 15 + -18z = -2 + 2 + 14z + -4z Combine like terms: -2 + 2 = 0 15 + -18z = 0 + 14z + -4z 15 + -18z = 14z + -4z Combine like terms: 14z + -4z = 10z 15 + -18z = 10z Solving 15 + -18z = 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 15 + -18z + -10z = 10z + -10z Combine like terms: -18z + -10z = -28z 15 + -28z = 10z + -10z Combine like terms: 10z + -10z = 0 15 + -28z = 0 Add '-15' to each side of the equation. 15 + -15 + -28z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -28z = 0 + -15 -28z = 0 + -15 Combine like terms: 0 + -15 = -15 -28z = -15 Divide each side by '-28'. z = 0.5357142857 Simplifying z = 0.5357142857
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