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Simplifying 2(2z + -5) = 2z + 13 Reorder the terms: 2(-5 + 2z) = 2z + 13 (-5 * 2 + 2z * 2) = 2z + 13 (-10 + 4z) = 2z + 13 Reorder the terms: -10 + 4z = 13 + 2z Solving -10 + 4z = 13 + 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. -10 + 4z + -2z = 13 + 2z + -2z Combine like terms: 4z + -2z = 2z -10 + 2z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + 2z = 13 + 0 -10 + 2z = 13 Add '10' to each side of the equation. -10 + 10 + 2z = 13 + 10 Combine like terms: -10 + 10 = 0 0 + 2z = 13 + 10 2z = 13 + 10 Combine like terms: 13 + 10 = 23 2z = 23 Divide each side by '2'. z = 11.5 Simplifying z = 11.5
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