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Simplifying 4(13z + -20) + -19z = 18 + 19z Reorder the terms: 4(-20 + 13z) + -19z = 18 + 19z (-20 * 4 + 13z * 4) + -19z = 18 + 19z (-80 + 52z) + -19z = 18 + 19z Combine like terms: 52z + -19z = 33z -80 + 33z = 18 + 19z Solving -80 + 33z = 18 + 19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19z' to each side of the equation. -80 + 33z + -19z = 18 + 19z + -19z Combine like terms: 33z + -19z = 14z -80 + 14z = 18 + 19z + -19z Combine like terms: 19z + -19z = 0 -80 + 14z = 18 + 0 -80 + 14z = 18 Add '80' to each side of the equation. -80 + 80 + 14z = 18 + 80 Combine like terms: -80 + 80 = 0 0 + 14z = 18 + 80 14z = 18 + 80 Combine like terms: 18 + 80 = 98 14z = 98 Divide each side by '14'. z = 7 Simplifying z = 7
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