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Simplifying 4z + -15 = 45 + -2z Reorder the terms: -15 + 4z = 45 + -2z Solving -15 + 4z = 45 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -15 + 4z + 2z = 45 + -2z + 2z Combine like terms: 4z + 2z = 6z -15 + 6z = 45 + -2z + 2z Combine like terms: -2z + 2z = 0 -15 + 6z = 45 + 0 -15 + 6z = 45 Add '15' to each side of the equation. -15 + 15 + 6z = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 6z = 45 + 15 6z = 45 + 15 Combine like terms: 45 + 15 = 60 6z = 60 Divide each side by '6'. z = 10 Simplifying z = 10
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