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Simplifying 5z + 3 = -8z + 107 Reorder the terms: 3 + 5z = -8z + 107 Reorder the terms: 3 + 5z = 107 + -8z Solving 3 + 5z = 107 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 3 + 5z + 8z = 107 + -8z + 8z Combine like terms: 5z + 8z = 13z 3 + 13z = 107 + -8z + 8z Combine like terms: -8z + 8z = 0 3 + 13z = 107 + 0 3 + 13z = 107 Add '-3' to each side of the equation. 3 + -3 + 13z = 107 + -3 Combine like terms: 3 + -3 = 0 0 + 13z = 107 + -3 13z = 107 + -3 Combine like terms: 107 + -3 = 104 13z = 104 Divide each side by '13'. z = 8 Simplifying z = 8
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