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Simplifying 2(3z + -1) + 12 = 4(z + 8 + 34) Reorder the terms: 2(-1 + 3z) + 12 = 4(z + 8 + 34) (-1 * 2 + 3z * 2) + 12 = 4(z + 8 + 34) (-2 + 6z) + 12 = 4(z + 8 + 34) Reorder the terms: -2 + 12 + 6z = 4(z + 8 + 34) Combine like terms: -2 + 12 = 10 10 + 6z = 4(z + 8 + 34) Reorder the terms: 10 + 6z = 4(8 + 34 + z) Combine like terms: 8 + 34 = 42 10 + 6z = 4(42 + z) 10 + 6z = (42 * 4 + z * 4) 10 + 6z = (168 + 4z) Solving 10 + 6z = 168 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 10 + 6z + -4z = 168 + 4z + -4z Combine like terms: 6z + -4z = 2z 10 + 2z = 168 + 4z + -4z Combine like terms: 4z + -4z = 0 10 + 2z = 168 + 0 10 + 2z = 168 Add '-10' to each side of the equation. 10 + -10 + 2z = 168 + -10 Combine like terms: 10 + -10 = 0 0 + 2z = 168 + -10 2z = 168 + -10 Combine like terms: 168 + -10 = 158 2z = 158 Divide each side by '2'. z = 79 Simplifying z = 79
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