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Simplifying -6z + -4(2 + -5z) = 22 + 10z -6z + (2 * -4 + -5z * -4) = 22 + 10z -6z + (-8 + 20z) = 22 + 10z Reorder the terms: -8 + -6z + 20z = 22 + 10z Combine like terms: -6z + 20z = 14z -8 + 14z = 22 + 10z Solving -8 + 14z = 22 + 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. -8 + 14z + -10z = 22 + 10z + -10z Combine like terms: 14z + -10z = 4z -8 + 4z = 22 + 10z + -10z Combine like terms: 10z + -10z = 0 -8 + 4z = 22 + 0 -8 + 4z = 22 Add '8' to each side of the equation. -8 + 8 + 4z = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = 22 + 8 4z = 22 + 8 Combine like terms: 22 + 8 = 30 4z = 30 Divide each side by '4'. z = 7.5 Simplifying z = 7.5
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