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Simplifying 8 + 5z + -20 = 2z + -14 Reorder the terms: 8 + -20 + 5z = 2z + -14 Combine like terms: 8 + -20 = -12 -12 + 5z = 2z + -14 Reorder the terms: -12 + 5z = -14 + 2z Solving -12 + 5z = -14 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -12 + 5z + -2z = -14 + 2z + -2z Combine like terms: 5z + -2z = 3z -12 + 3z = -14 + 2z + -2z Combine like terms: 2z + -2z = 0 -12 + 3z = -14 + 0 -12 + 3z = -14 Add '12' to each side of the equation. -12 + 12 + 3z = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = -14 + 12 3z = -14 + 12 Combine like terms: -14 + 12 = -2 3z = -2 Divide each side by '3'. z = -0.6666666667 Simplifying z = -0.6666666667
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