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Simplifying z + 12 = 5(2z + -1) Reorder the terms: 12 + z = 5(2z + -1) Reorder the terms: 12 + z = 5(-1 + 2z) 12 + z = (-1 * 5 + 2z * 5) 12 + z = (-5 + 10z) Solving 12 + z = -5 + 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. 12 + z + -10z = -5 + 10z + -10z Combine like terms: z + -10z = -9z 12 + -9z = -5 + 10z + -10z Combine like terms: 10z + -10z = 0 12 + -9z = -5 + 0 12 + -9z = -5 Add '-12' to each side of the equation. 12 + -12 + -9z = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -9z = -5 + -12 -9z = -5 + -12 Combine like terms: -5 + -12 = -17 -9z = -17 Divide each side by '-9'. z = 1.888888889 Simplifying z = 1.888888889
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