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Simplifying 15 = -14z + -4(-6z + -0.5) Reorder the terms: 15 = -14z + -4(-0.5 + -6z) 15 = -14z + (-0.5 * -4 + -6z * -4) 15 = -14z + (2 + 24z) Reorder the terms: 15 = 2 + -14z + 24z Combine like terms: -14z + 24z = 10z 15 = 2 + 10z Solving 15 = 2 + 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 + -10z = 2 + 10z + -10z Combine like terms: 10z + -10z = 0 15 + -10z = 2 + 0 15 + -10z = 2 Add '-15' to each side of the equation. 15 + -15 + -10z = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -10z = 2 + -15 -10z = 2 + -15 Combine like terms: 2 + -15 = -13 -10z = -13 Divide each side by '-10'. z = 1.3 Simplifying z = 1.3
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