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Simplifying 3 + -4z = 10 + 10z Solving 3 + -4z = 10 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 3 + -4z + -10z = 10 + 10z + -10z Combine like terms: -4z + -10z = -14z 3 + -14z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 3 + -14z = 10 + 0 3 + -14z = 10 Add '-3' to each side of the equation. 3 + -3 + -14z = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -14z = 10 + -3 -14z = 10 + -3 Combine like terms: 10 + -3 = 7 -14z = 7 Divide each side by '-14'. z = -0.5 Simplifying z = -0.5
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