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Simplifying 24 + 4z + -6 = 5(2z + -6) Reorder the terms: 24 + -6 + 4z = 5(2z + -6) Combine like terms: 24 + -6 = 18 18 + 4z = 5(2z + -6) Reorder the terms: 18 + 4z = 5(-6 + 2z) 18 + 4z = (-6 * 5 + 2z * 5) 18 + 4z = (-30 + 10z) Solving 18 + 4z = -30 + 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. 18 + 4z + -10z = -30 + 10z + -10z Combine like terms: 4z + -10z = -6z 18 + -6z = -30 + 10z + -10z Combine like terms: 10z + -10z = 0 18 + -6z = -30 + 0 18 + -6z = -30 Add '-18' to each side of the equation. 18 + -18 + -6z = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -6z = -30 + -18 -6z = -30 + -18 Combine like terms: -30 + -18 = -48 -6z = -48 Divide each side by '-6'. z = 8 Simplifying z = 8
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