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Simplifying -4(-5z + 13) + 4z = 16 + 20z Reorder the terms: -4(13 + -5z) + 4z = 16 + 20z (13 * -4 + -5z * -4) + 4z = 16 + 20z (-52 + 20z) + 4z = 16 + 20z Combine like terms: 20z + 4z = 24z -52 + 24z = 16 + 20z Solving -52 + 24z = 16 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. -52 + 24z + -20z = 16 + 20z + -20z Combine like terms: 24z + -20z = 4z -52 + 4z = 16 + 20z + -20z Combine like terms: 20z + -20z = 0 -52 + 4z = 16 + 0 -52 + 4z = 16 Add '52' to each side of the equation. -52 + 52 + 4z = 16 + 52 Combine like terms: -52 + 52 = 0 0 + 4z = 16 + 52 4z = 16 + 52 Combine like terms: 16 + 52 = 68 4z = 68 Divide each side by '4'. z = 17 Simplifying z = 17
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