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Simplifying 2(2z + -2) = 5(z + 4) Reorder the terms: 2(-2 + 2z) = 5(z + 4) (-2 * 2 + 2z * 2) = 5(z + 4) (-4 + 4z) = 5(z + 4) Reorder the terms: -4 + 4z = 5(4 + z) -4 + 4z = (4 * 5 + z * 5) -4 + 4z = (20 + 5z) Solving -4 + 4z = 20 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -4 + 4z + -5z = 20 + 5z + -5z Combine like terms: 4z + -5z = -1z -4 + -1z = 20 + 5z + -5z Combine like terms: 5z + -5z = 0 -4 + -1z = 20 + 0 -4 + -1z = 20 Add '4' to each side of the equation. -4 + 4 + -1z = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -1z = 20 + 4 -1z = 20 + 4 Combine like terms: 20 + 4 = 24 -1z = 24 Divide each side by '-1'. z = -24 Simplifying z = -24
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