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Simplifying 20z + -5(6z + 4) = 4z + -6 Reorder the terms: 20z + -5(4 + 6z) = 4z + -6 20z + (4 * -5 + 6z * -5) = 4z + -6 20z + (-20 + -30z) = 4z + -6 Reorder the terms: -20 + 20z + -30z = 4z + -6 Combine like terms: 20z + -30z = -10z -20 + -10z = 4z + -6 Reorder the terms: -20 + -10z = -6 + 4z Solving -20 + -10z = -6 + 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. -20 + -10z + -4z = -6 + 4z + -4z Combine like terms: -10z + -4z = -14z -20 + -14z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 -20 + -14z = -6 + 0 -20 + -14z = -6 Add '20' to each side of the equation. -20 + 20 + -14z = -6 + 20 Combine like terms: -20 + 20 = 0 0 + -14z = -6 + 20 -14z = -6 + 20 Combine like terms: -6 + 20 = 14 -14z = 14 Divide each side by '-14'. z = -1 Simplifying z = -1
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