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Simplifying 2z + 4z + 2 + z + 10 = z + 2 + 20 Reorder the terms: 2 + 10 + 2z + 4z + z = z + 2 + 20 Combine like terms: 2 + 10 = 12 12 + 2z + 4z + z = z + 2 + 20 Combine like terms: 2z + 4z = 6z 12 + 6z + z = z + 2 + 20 Combine like terms: 6z + z = 7z 12 + 7z = z + 2 + 20 Reorder the terms: 12 + 7z = 2 + 20 + z Combine like terms: 2 + 20 = 22 12 + 7z = 22 + z Solving 12 + 7z = 22 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 12 + 7z + -1z = 22 + z + -1z Combine like terms: 7z + -1z = 6z 12 + 6z = 22 + z + -1z Combine like terms: z + -1z = 0 12 + 6z = 22 + 0 12 + 6z = 22 Add '-12' to each side of the equation. 12 + -12 + 6z = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 6z = 22 + -12 6z = 22 + -12 Combine like terms: 22 + -12 = 10 6z = 10 Divide each side by '6'. z = 1.666666667 Simplifying z = 1.666666667
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