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Simplifying 2(4z + -1) = 3(z + 12) Reorder the terms: 2(-1 + 4z) = 3(z + 12) (-1 * 2 + 4z * 2) = 3(z + 12) (-2 + 8z) = 3(z + 12) Reorder the terms: -2 + 8z = 3(12 + z) -2 + 8z = (12 * 3 + z * 3) -2 + 8z = (36 + 3z) Solving -2 + 8z = 36 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -2 + 8z + -3z = 36 + 3z + -3z Combine like terms: 8z + -3z = 5z -2 + 5z = 36 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + 5z = 36 + 0 -2 + 5z = 36 Add '2' to each side of the equation. -2 + 2 + 5z = 36 + 2 Combine like terms: -2 + 2 = 0 0 + 5z = 36 + 2 5z = 36 + 2 Combine like terms: 36 + 2 = 38 5z = 38 Divide each side by '5'. z = 7.6 Simplifying z = 7.6
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