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Simplifying 3z + 4z + -3 = 56 + 5z Reorder the terms: -3 + 3z + 4z = 56 + 5z Combine like terms: 3z + 4z = 7z -3 + 7z = 56 + 5z Solving -3 + 7z = 56 + 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. -3 + 7z + -5z = 56 + 5z + -5z Combine like terms: 7z + -5z = 2z -3 + 2z = 56 + 5z + -5z Combine like terms: 5z + -5z = 0 -3 + 2z = 56 + 0 -3 + 2z = 56 Add '3' to each side of the equation. -3 + 3 + 2z = 56 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = 56 + 3 2z = 56 + 3 Combine like terms: 56 + 3 = 59 2z = 59 Divide each side by '2'. z = 29.5 Simplifying z = 29.5
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