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Simplifying 2(z + 2) = 5z + 17 Reorder the terms: 2(2 + z) = 5z + 17 (2 * 2 + z * 2) = 5z + 17 (4 + 2z) = 5z + 17 Reorder the terms: 4 + 2z = 17 + 5z Solving 4 + 2z = 17 + 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. 4 + 2z + -5z = 17 + 5z + -5z Combine like terms: 2z + -5z = -3z 4 + -3z = 17 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + -3z = 17 + 0 4 + -3z = 17 Add '-4' to each side of the equation. 4 + -4 + -3z = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -3z = 17 + -4 -3z = 17 + -4 Combine like terms: 17 + -4 = 13 -3z = 13 Divide each side by '-3'. z = -4.333333333 Simplifying z = -4.333333333
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