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Simplifying 3(5z + -5) = -5z + 45 Reorder the terms: 3(-5 + 5z) = -5z + 45 (-5 * 3 + 5z * 3) = -5z + 45 (-15 + 15z) = -5z + 45 Reorder the terms: -15 + 15z = 45 + -5z Solving -15 + 15z = 45 + -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. -15 + 15z + 5z = 45 + -5z + 5z Combine like terms: 15z + 5z = 20z -15 + 20z = 45 + -5z + 5z Combine like terms: -5z + 5z = 0 -15 + 20z = 45 + 0 -15 + 20z = 45 Add '15' to each side of the equation. -15 + 15 + 20z = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 20z = 45 + 15 20z = 45 + 15 Combine like terms: 45 + 15 = 60 20z = 60 Divide each side by '20'. z = 3 Simplifying z = 3
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