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Simplifying 4z + 3 + -5z = 31 + -3z Reorder the terms: 3 + 4z + -5z = 31 + -3z Combine like terms: 4z + -5z = -1z 3 + -1z = 31 + -3z Solving 3 + -1z = 31 + -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 + -1z + 3z = 31 + -3z + 3z Combine like terms: -1z + 3z = 2z 3 + 2z = 31 + -3z + 3z Combine like terms: -3z + 3z = 0 3 + 2z = 31 + 0 3 + 2z = 31 Add '-3' to each side of the equation. 3 + -3 + 2z = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = 31 + -3 2z = 31 + -3 Combine like terms: 31 + -3 = 28 2z = 28 Divide each side by '2'. z = 14 Simplifying z = 14
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