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Simplifying -24 = 6(10 + z) -24 = (10 * 6 + z * 6) -24 = (60 + 6z) Solving -24 = 60 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -24 + -6z = 60 + 6z + -6z Combine like terms: 6z + -6z = 0 -24 + -6z = 60 + 0 -24 + -6z = 60 Add '24' to each side of the equation. -24 + 24 + -6z = 60 + 24 Combine like terms: -24 + 24 = 0 0 + -6z = 60 + 24 -6z = 60 + 24 Combine like terms: 60 + 24 = 84 -6z = 84 Divide each side by '-6'. z = -14 Simplifying z = -14
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