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Simplifying 5(2z + -3) + -3z = 3(z + 3) Reorder the terms: 5(-3 + 2z) + -3z = 3(z + 3) (-3 * 5 + 2z * 5) + -3z = 3(z + 3) (-15 + 10z) + -3z = 3(z + 3) Combine like terms: 10z + -3z = 7z -15 + 7z = 3(z + 3) Reorder the terms: -15 + 7z = 3(3 + z) -15 + 7z = (3 * 3 + z * 3) -15 + 7z = (9 + 3z) Solving -15 + 7z = 9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -15 + 7z + -3z = 9 + 3z + -3z Combine like terms: 7z + -3z = 4z -15 + 4z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 -15 + 4z = 9 + 0 -15 + 4z = 9 Add '15' to each side of the equation. -15 + 15 + 4z = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 4z = 9 + 15 4z = 9 + 15 Combine like terms: 9 + 15 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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