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Simplifying 8z + -20 = 5z + 6z + -18 Reorder the terms: -20 + 8z = 5z + 6z + -18 Reorder the terms: -20 + 8z = -18 + 5z + 6z Combine like terms: 5z + 6z = 11z -20 + 8z = -18 + 11z Solving -20 + 8z = -18 + 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 + 8z + -11z = -18 + 11z + -11z Combine like terms: 8z + -11z = -3z -20 + -3z = -18 + 11z + -11z Combine like terms: 11z + -11z = 0 -20 + -3z = -18 + 0 -20 + -3z = -18 Add '20' to each side of the equation. -20 + 20 + -3z = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -3z = -18 + 20 -3z = -18 + 20 Combine like terms: -18 + 20 = 2 -3z = 2 Divide each side by '-3'. z = -0.6666666667 Simplifying z = -0.6666666667
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