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Simplifying 3(2z + -3) = 5(z + 5) Reorder the terms: 3(-3 + 2z) = 5(z + 5) (-3 * 3 + 2z * 3) = 5(z + 5) (-9 + 6z) = 5(z + 5) Reorder the terms: -9 + 6z = 5(5 + z) -9 + 6z = (5 * 5 + z * 5) -9 + 6z = (25 + 5z) Solving -9 + 6z = 25 + 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. -9 + 6z + -5z = 25 + 5z + -5z Combine like terms: 6z + -5z = 1z -9 + 1z = 25 + 5z + -5z Combine like terms: 5z + -5z = 0 -9 + 1z = 25 + 0 -9 + 1z = 25 Add '9' to each side of the equation. -9 + 9 + 1z = 25 + 9 Combine like terms: -9 + 9 = 0 0 + 1z = 25 + 9 1z = 25 + 9 Combine like terms: 25 + 9 = 34 1z = 34 Divide each side by '1'. z = 34 Simplifying z = 34
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