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Simplifying 4z + 10 = -20 + 15z + -14 Reorder the terms: 10 + 4z = -20 + 15z + -14 Reorder the terms: 10 + 4z = -20 + -14 + 15z Combine like terms: -20 + -14 = -34 10 + 4z = -34 + 15z Solving 10 + 4z = -34 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 10 + 4z + -15z = -34 + 15z + -15z Combine like terms: 4z + -15z = -11z 10 + -11z = -34 + 15z + -15z Combine like terms: 15z + -15z = 0 10 + -11z = -34 + 0 10 + -11z = -34 Add '-10' to each side of the equation. 10 + -10 + -11z = -34 + -10 Combine like terms: 10 + -10 = 0 0 + -11z = -34 + -10 -11z = -34 + -10 Combine like terms: -34 + -10 = -44 -11z = -44 Divide each side by '-11'. z = 4 Simplifying z = 4
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