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Simplifying 5(z + 8) = 67 + 2z Reorder the terms: 5(8 + z) = 67 + 2z (8 * 5 + z * 5) = 67 + 2z (40 + 5z) = 67 + 2z Solving 40 + 5z = 67 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 40 + 5z + -2z = 67 + 2z + -2z Combine like terms: 5z + -2z = 3z 40 + 3z = 67 + 2z + -2z Combine like terms: 2z + -2z = 0 40 + 3z = 67 + 0 40 + 3z = 67 Add '-40' to each side of the equation. 40 + -40 + 3z = 67 + -40 Combine like terms: 40 + -40 = 0 0 + 3z = 67 + -40 3z = 67 + -40 Combine like terms: 67 + -40 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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