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Simplifying 5 + 2(z + -2) + -6(4z + 3) = 20z + 4z Reorder the terms: 5 + 2(-2 + z) + -6(4z + 3) = 20z + 4z 5 + (-2 * 2 + z * 2) + -6(4z + 3) = 20z + 4z 5 + (-4 + 2z) + -6(4z + 3) = 20z + 4z Reorder the terms: 5 + -4 + 2z + -6(3 + 4z) = 20z + 4z 5 + -4 + 2z + (3 * -6 + 4z * -6) = 20z + 4z 5 + -4 + 2z + (-18 + -24z) = 20z + 4z Reorder the terms: 5 + -4 + -18 + 2z + -24z = 20z + 4z Combine like terms: 5 + -4 = 1 1 + -18 + 2z + -24z = 20z + 4z Combine like terms: 1 + -18 = -17 -17 + 2z + -24z = 20z + 4z Combine like terms: 2z + -24z = -22z -17 + -22z = 20z + 4z Combine like terms: 20z + 4z = 24z -17 + -22z = 24z Solving -17 + -22z = 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. -17 + -22z + -24z = 24z + -24z Combine like terms: -22z + -24z = -46z -17 + -46z = 24z + -24z Combine like terms: 24z + -24z = 0 -17 + -46z = 0 Add '17' to each side of the equation. -17 + 17 + -46z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -46z = 0 + 17 -46z = 0 + 17 Combine like terms: 0 + 17 = 17 -46z = 17 Divide each side by '-46'. z = -0.3695652174 Simplifying z = -0.3695652174
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