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Simplifying 18 + 7z = 6(4z + -5) Reorder the terms: 18 + 7z = 6(-5 + 4z) 18 + 7z = (-5 * 6 + 4z * 6) 18 + 7z = (-30 + 24z) Solving 18 + 7z = -30 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 18 + 7z + -24z = -30 + 24z + -24z Combine like terms: 7z + -24z = -17z 18 + -17z = -30 + 24z + -24z Combine like terms: 24z + -24z = 0 18 + -17z = -30 + 0 18 + -17z = -30 Add '-18' to each side of the equation. 18 + -18 + -17z = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -17z = -30 + -18 -17z = -30 + -18 Combine like terms: -30 + -18 = -48 -17z = -48 Divide each side by '-17'. z = 2.823529412 Simplifying z = 2.823529412
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