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Simplifying -20 + 20z + 14z = 8(z + 20) + 3z Combine like terms: 20z + 14z = 34z -20 + 34z = 8(z + 20) + 3z Reorder the terms: -20 + 34z = 8(20 + z) + 3z -20 + 34z = (20 * 8 + z * 8) + 3z -20 + 34z = (160 + 8z) + 3z Combine like terms: 8z + 3z = 11z -20 + 34z = 160 + 11z Solving -20 + 34z = 160 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -20 + 34z + -11z = 160 + 11z + -11z Combine like terms: 34z + -11z = 23z -20 + 23z = 160 + 11z + -11z Combine like terms: 11z + -11z = 0 -20 + 23z = 160 + 0 -20 + 23z = 160 Add '20' to each side of the equation. -20 + 20 + 23z = 160 + 20 Combine like terms: -20 + 20 = 0 0 + 23z = 160 + 20 23z = 160 + 20 Combine like terms: 160 + 20 = 180 23z = 180 Divide each side by '23'. z = 7.826086957 Simplifying z = 7.826086957
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