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Simplifying 62 = 3z + 12 + (2z + 2) + 11 Reorder the terms: 62 = 3z + 12 + (2 + 2z) + 11 Remove parenthesis around (2 + 2z) 62 = 3z + 12 + 2 + 2z + 11 Reorder the terms: 62 = 12 + 2 + 11 + 3z + 2z Combine like terms: 12 + 2 = 14 62 = 14 + 11 + 3z + 2z Combine like terms: 14 + 11 = 25 62 = 25 + 3z + 2z Combine like terms: 3z + 2z = 5z 62 = 25 + 5z Solving 62 = 25 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 62 + -5z = 25 + 5z + -5z Combine like terms: 5z + -5z = 0 62 + -5z = 25 + 0 62 + -5z = 25 Add '-62' to each side of the equation. 62 + -62 + -5z = 25 + -62 Combine like terms: 62 + -62 = 0 0 + -5z = 25 + -62 -5z = 25 + -62 Combine like terms: 25 + -62 = -37 -5z = -37 Divide each side by '-5'. z = 7.4 Simplifying z = 7.4
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