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Simplifying 34 = 13 + -1(10z + -6) Reorder the terms: 34 = 13 + -1(-6 + 10z) 34 = 13 + (-6 * -1 + 10z * -1) 34 = 13 + (6 + -10z) Combine like terms: 13 + 6 = 19 34 = 19 + -10z Solving 34 = 19 + -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. 34 + 10z = 19 + -10z + 10z Combine like terms: -10z + 10z = 0 34 + 10z = 19 + 0 34 + 10z = 19 Add '-34' to each side of the equation. 34 + -34 + 10z = 19 + -34 Combine like terms: 34 + -34 = 0 0 + 10z = 19 + -34 10z = 19 + -34 Combine like terms: 19 + -34 = -15 10z = -15 Divide each side by '10'. z = -1.5 Simplifying z = -1.5
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