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Simplifying 3(2z + -3) = 4z + 1 Reorder the terms: 3(-3 + 2z) = 4z + 1 (-3 * 3 + 2z * 3) = 4z + 1 (-9 + 6z) = 4z + 1 Reorder the terms: -9 + 6z = 1 + 4z Solving -9 + 6z = 1 + 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. -9 + 6z + -4z = 1 + 4z + -4z Combine like terms: 6z + -4z = 2z -9 + 2z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 -9 + 2z = 1 + 0 -9 + 2z = 1 Add '9' to each side of the equation. -9 + 9 + 2z = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2z = 1 + 9 2z = 1 + 9 Combine like terms: 1 + 9 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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