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Simplifying 4(5z + -2) = -2z + 80 Reorder the terms: 4(-2 + 5z) = -2z + 80 (-2 * 4 + 5z * 4) = -2z + 80 (-8 + 20z) = -2z + 80 Reorder the terms: -8 + 20z = 80 + -2z Solving -8 + 20z = 80 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -8 + 20z + 2z = 80 + -2z + 2z Combine like terms: 20z + 2z = 22z -8 + 22z = 80 + -2z + 2z Combine like terms: -2z + 2z = 0 -8 + 22z = 80 + 0 -8 + 22z = 80 Add '8' to each side of the equation. -8 + 8 + 22z = 80 + 8 Combine like terms: -8 + 8 = 0 0 + 22z = 80 + 8 22z = 80 + 8 Combine like terms: 80 + 8 = 88 22z = 88 Divide each side by '22'. z = 4 Simplifying z = 4
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