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Simplifying 3(2z + -5) = 4z + 2 Reorder the terms: 3(-5 + 2z) = 4z + 2 (-5 * 3 + 2z * 3) = 4z + 2 (-15 + 6z) = 4z + 2 Reorder the terms: -15 + 6z = 2 + 4z Solving -15 + 6z = 2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -15 + 6z + -4z = 2 + 4z + -4z Combine like terms: 6z + -4z = 2z -15 + 2z = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 -15 + 2z = 2 + 0 -15 + 2z = 2 Add '15' to each side of the equation. -15 + 15 + 2z = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 2z = 2 + 15 2z = 2 + 15 Combine like terms: 2 + 15 = 17 2z = 17 Divide each side by '2'. z = 8.5 Simplifying z = 8.5
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