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Simplifying 8 + -7 + 2z = 20 + 5z Combine like terms: 8 + -7 = 1 1 + 2z = 20 + 5z Solving 1 + 2z = 20 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 1 + 2z + -5z = 20 + 5z + -5z Combine like terms: 2z + -5z = -3z 1 + -3z = 20 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + -3z = 20 + 0 1 + -3z = 20 Add '-1' to each side of the equation. 1 + -1 + -3z = 20 + -1 Combine like terms: 1 + -1 = 0 0 + -3z = 20 + -1 -3z = 20 + -1 Combine like terms: 20 + -1 = 19 -3z = 19 Divide each side by '-3'. z = -6.333333333 Simplifying z = -6.333333333
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