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Simplifying 10 + 10z = -4 + 8z Solving 10 + 10z = -4 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 10 + 10z + -8z = -4 + 8z + -8z Combine like terms: 10z + -8z = 2z 10 + 2z = -4 + 8z + -8z Combine like terms: 8z + -8z = 0 10 + 2z = -4 + 0 10 + 2z = -4 Add '-10' to each side of the equation. 10 + -10 + 2z = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2z = -4 + -10 2z = -4 + -10 Combine like terms: -4 + -10 = -14 2z = -14 Divide each side by '2'. z = -7 Simplifying z = -7
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