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Simplifying 8z + 5z + -20 + 8 = 28 + -7z Reorder the terms: -20 + 8 + 8z + 5z = 28 + -7z Combine like terms: -20 + 8 = -12 -12 + 8z + 5z = 28 + -7z Combine like terms: 8z + 5z = 13z -12 + 13z = 28 + -7z Solving -12 + 13z = 28 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -12 + 13z + 7z = 28 + -7z + 7z Combine like terms: 13z + 7z = 20z -12 + 20z = 28 + -7z + 7z Combine like terms: -7z + 7z = 0 -12 + 20z = 28 + 0 -12 + 20z = 28 Add '12' to each side of the equation. -12 + 12 + 20z = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 20z = 28 + 12 20z = 28 + 12 Combine like terms: 28 + 12 = 40 20z = 40 Divide each side by '20'. z = 2 Simplifying z = 2
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