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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 + 5z) * -12 Reorder the terms for easier multiplication: 4 + 12z = 2 * -12(8 + 5z) Multiply 2 * -12 4 + 12z = -24(8 + 5z) 4 + 12z = (8 * -24 + 5z * -24) 4 + 12z = (-192 + -120z) Solving 4 + 12z = -192 + -120z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '120z' to each side of the equation. 4 + 12z + 120z = -192 + -120z + 120z Combine like terms: 12z + 120z = 132z 4 + 132z = -192 + -120z + 120z Combine like terms: -120z + 120z = 0 4 + 132z = -192 + 0 4 + 132z = -192 Add '-4' to each side of the equation. 4 + -4 + 132z = -192 + -4 Combine like terms: 4 + -4 = 0 0 + 132z = -192 + -4 132z = -192 + -4 Combine like terms: -192 + -4 = -196 132z = -196 Divide each side by '132'. z = -1.484848485 Simplifying z = -1.484848485
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