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Simplifying 12z + 4 = 2(5z + 8 + -12) Reorder the terms: 4 + 12z = 2(5z + 8 + -12) Reorder the terms: 4 + 12z = 2(8 + -12 + 5z) Combine like terms: 8 + -12 = -4 4 + 12z = 2(-4 + 5z) 4 + 12z = (-4 * 2 + 5z * 2) 4 + 12z = (-8 + 10z) Solving 4 + 12z = -8 + 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 = -8 + 10z + -10z Combine like terms: 12z + -10z = 2z 4 + 2z = -8 + 10z + -10z Combine like terms: 10z + -10z = 0 4 + 2z = -8 + 0 4 + 2z = -8 Add '-4' to each side of the equation. 4 + -4 + 2z = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = -8 + -4 2z = -8 + -4 Combine like terms: -8 + -4 = -12 2z = -12 Divide each side by '2'. z = -6 Simplifying z = -6
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