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Simplifying 5z + -3 = 11 + 3z Reorder the terms: -3 + 5z = 11 + 3z Solving -3 + 5z = 11 + 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. -3 + 5z + -3z = 11 + 3z + -3z Combine like terms: 5z + -3z = 2z -3 + 2z = 11 + 3z + -3z Combine like terms: 3z + -3z = 0 -3 + 2z = 11 + 0 -3 + 2z = 11 Add '3' to each side of the equation. -3 + 3 + 2z = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = 11 + 3 2z = 11 + 3 Combine like terms: 11 + 3 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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