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Simplifying 10 + -4z = 14 + 8z Solving 10 + -4z = 14 + 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 + -4z + -8z = 14 + 8z + -8z Combine like terms: -4z + -8z = -12z 10 + -12z = 14 + 8z + -8z Combine like terms: 8z + -8z = 0 10 + -12z = 14 + 0 10 + -12z = 14 Add '-10' to each side of the equation. 10 + -10 + -12z = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -12z = 14 + -10 -12z = 14 + -10 Combine like terms: 14 + -10 = 4 -12z = 4 Divide each side by '-12'. z = -0.3333333333 Simplifying z = -0.3333333333
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