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Simplifying 2(4z + -2) = 3(z + 2) Reorder the terms: 2(-2 + 4z) = 3(z + 2) (-2 * 2 + 4z * 2) = 3(z + 2) (-4 + 8z) = 3(z + 2) Reorder the terms: -4 + 8z = 3(2 + z) -4 + 8z = (2 * 3 + z * 3) -4 + 8z = (6 + 3z) Solving -4 + 8z = 6 + 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. -4 + 8z + -3z = 6 + 3z + -3z Combine like terms: 8z + -3z = 5z -4 + 5z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + 5z = 6 + 0 -4 + 5z = 6 Add '4' to each side of the equation. -4 + 4 + 5z = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5z = 6 + 4 5z = 6 + 4 Combine like terms: 6 + 4 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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