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Simplifying 6z + -6 + -10z = 39 + 10z + 4 Reorder the terms: -6 + 6z + -10z = 39 + 10z + 4 Combine like terms: 6z + -10z = -4z -6 + -4z = 39 + 10z + 4 Reorder the terms: -6 + -4z = 39 + 4 + 10z Combine like terms: 39 + 4 = 43 -6 + -4z = 43 + 10z Solving -6 + -4z = 43 + 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. -6 + -4z + -10z = 43 + 10z + -10z Combine like terms: -4z + -10z = -14z -6 + -14z = 43 + 10z + -10z Combine like terms: 10z + -10z = 0 -6 + -14z = 43 + 0 -6 + -14z = 43 Add '6' to each side of the equation. -6 + 6 + -14z = 43 + 6 Combine like terms: -6 + 6 = 0 0 + -14z = 43 + 6 -14z = 43 + 6 Combine like terms: 43 + 6 = 49 -14z = 49 Divide each side by '-14'. z = -3.5 Simplifying z = -3.5
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