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Simplifying 2(4z + -1) = 3(z + 2) * 4 Reorder the terms: 2(-1 + 4z) = 3(z + 2) * 4 (-1 * 2 + 4z * 2) = 3(z + 2) * 4 (-2 + 8z) = 3(z + 2) * 4 Reorder the terms: -2 + 8z = 3(2 + z) * 4 Reorder the terms for easier multiplication: -2 + 8z = 3 * 4(2 + z) Multiply 3 * 4 -2 + 8z = 12(2 + z) -2 + 8z = (2 * 12 + z * 12) -2 + 8z = (24 + 12z) Solving -2 + 8z = 24 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -2 + 8z + -12z = 24 + 12z + -12z Combine like terms: 8z + -12z = -4z -2 + -4z = 24 + 12z + -12z Combine like terms: 12z + -12z = 0 -2 + -4z = 24 + 0 -2 + -4z = 24 Add '2' to each side of the equation. -2 + 2 + -4z = 24 + 2 Combine like terms: -2 + 2 = 0 0 + -4z = 24 + 2 -4z = 24 + 2 Combine like terms: 24 + 2 = 26 -4z = 26 Divide each side by '-4'. z = -6.5 Simplifying z = -6.5
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