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Simplifying 4(4z + -2) = -4z + 32 Reorder the terms: 4(-2 + 4z) = -4z + 32 (-2 * 4 + 4z * 4) = -4z + 32 (-8 + 16z) = -4z + 32 Reorder the terms: -8 + 16z = 32 + -4z Solving -8 + 16z = 32 + -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. -8 + 16z + 4z = 32 + -4z + 4z Combine like terms: 16z + 4z = 20z -8 + 20z = 32 + -4z + 4z Combine like terms: -4z + 4z = 0 -8 + 20z = 32 + 0 -8 + 20z = 32 Add '8' to each side of the equation. -8 + 8 + 20z = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 20z = 32 + 8 20z = 32 + 8 Combine like terms: 32 + 8 = 40 20z = 40 Divide each side by '20'. z = 2 Simplifying z = 2
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