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Simplifying 10z + -5z + -2z + -3 = 45 Reorder the terms: -3 + 10z + -5z + -2z = 45 Combine like terms: 10z + -5z = 5z -3 + 5z + -2z = 45 Combine like terms: 5z + -2z = 3z -3 + 3z = 45 Solving -3 + 3z = 45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3z = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = 45 + 3 3z = 45 + 3 Combine like terms: 45 + 3 = 48 3z = 48 Divide each side by '3'. z = 16 Simplifying z = 16
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