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Simplifying 10 + 8z = -10 + -4 + 5z Combine like terms: -10 + -4 = -14 10 + 8z = -14 + 5z Solving 10 + 8z = -14 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 10 + 8z + -5z = -14 + 5z + -5z Combine like terms: 8z + -5z = 3z 10 + 3z = -14 + 5z + -5z Combine like terms: 5z + -5z = 0 10 + 3z = -14 + 0 10 + 3z = -14 Add '-10' to each side of the equation. 10 + -10 + 3z = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 3z = -14 + -10 3z = -14 + -10 Combine like terms: -14 + -10 = -24 3z = -24 Divide each side by '3'. z = -8 Simplifying z = -8
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