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Simplifying 62 = 3z + 12 + (z + 1) + (2z + 2) + 11 Reorder the terms: 62 = 3z + 12 + (1 + z) + (2z + 2) + 11 Remove parenthesis around (1 + z) 62 = 3z + 12 + 1 + z + (2z + 2) + 11 Reorder the terms: 62 = 3z + 12 + 1 + z + (2 + 2z) + 11 Remove parenthesis around (2 + 2z) 62 = 3z + 12 + 1 + z + 2 + 2z + 11 Reorder the terms: 62 = 12 + 1 + 2 + 11 + 3z + z + 2z Combine like terms: 12 + 1 = 13 62 = 13 + 2 + 11 + 3z + z + 2z Combine like terms: 13 + 2 = 15 62 = 15 + 11 + 3z + z + 2z Combine like terms: 15 + 11 = 26 62 = 26 + 3z + z + 2z Combine like terms: 3z + z = 4z 62 = 26 + 4z + 2z Combine like terms: 4z + 2z = 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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