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Simplifying 24z + 18 + -70z + -10 = 6 + -57z Reorder the terms: 18 + -10 + 24z + -70z = 6 + -57z Combine like terms: 18 + -10 = 8 8 + 24z + -70z = 6 + -57z Combine like terms: 24z + -70z = -46z 8 + -46z = 6 + -57z Solving 8 + -46z = 6 + -57z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '57z' to each side of the equation. 8 + -46z + 57z = 6 + -57z + 57z Combine like terms: -46z + 57z = 11z 8 + 11z = 6 + -57z + 57z Combine like terms: -57z + 57z = 0 8 + 11z = 6 + 0 8 + 11z = 6 Add '-8' to each side of the equation. 8 + -8 + 11z = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 11z = 6 + -8 11z = 6 + -8 Combine like terms: 6 + -8 = -2 11z = -2 Divide each side by '11'. z = -0.1818181818 Simplifying z = -0.1818181818
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