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Simplifying 62 = 2z + 3 + z + 1 + 12 + 3z + 10 Reorder the terms: 62 = 3 + 1 + 12 + 10 + 2z + z + 3z Combine like terms: 3 + 1 = 4 62 = 4 + 12 + 10 + 2z + z + 3z Combine like terms: 4 + 12 = 16 62 = 16 + 10 + 2z + z + 3z Combine like terms: 16 + 10 = 26 62 = 26 + 2z + z + 3z Combine like terms: 2z + z = 3z 62 = 26 + 3z + 3z Combine like terms: 3z + 3z = 6z 62 = 26 + 6z Solving 62 = 26 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 62 + -6z = 26 + 6z + -6z Combine like terms: 6z + -6z = 0 62 + -6z = 26 + 0 62 + -6z = 26 Add '-62' to each side of the equation. 62 + -62 + -6z = 26 + -62 Combine like terms: 62 + -62 = 0 0 + -6z = 26 + -62 -6z = 26 + -62 Combine like terms: 26 + -62 = -36 -6z = -36 Divide each side by '-6'. z = 6 Simplifying z = 6
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