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Simplifying 10z + 10 = 4 + -4z Reorder the terms: 10 + 10z = 4 + -4z Solving 10 + 10z = 4 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 10 + 10z + 4z = 4 + -4z + 4z Combine like terms: 10z + 4z = 14z 10 + 14z = 4 + -4z + 4z Combine like terms: -4z + 4z = 0 10 + 14z = 4 + 0 10 + 14z = 4 Add '-10' to each side of the equation. 10 + -10 + 14z = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 14z = 4 + -10 14z = 4 + -10 Combine like terms: 4 + -10 = -6 14z = -6 Divide each side by '14'. z = -0.4285714286 Simplifying z = -0.4285714286
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