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Simplifying 2(6z + 2) = 2(5z + -3) Reorder the terms: 2(2 + 6z) = 2(5z + -3) (2 * 2 + 6z * 2) = 2(5z + -3) (4 + 12z) = 2(5z + -3) Reorder the terms: 4 + 12z = 2(-3 + 5z) 4 + 12z = (-3 * 2 + 5z * 2) 4 + 12z = (-6 + 10z) Solving 4 + 12z = -6 + 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. 4 + 12z + -10z = -6 + 10z + -10z Combine like terms: 12z + -10z = 2z 4 + 2z = -6 + 10z + -10z Combine like terms: 10z + -10z = 0 4 + 2z = -6 + 0 4 + 2z = -6 Add '-4' to each side of the equation. 4 + -4 + 2z = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = -6 + -4 2z = -6 + -4 Combine like terms: -6 + -4 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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