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Simplifying 13z + -6 = 5z + -46 Reorder the terms: -6 + 13z = 5z + -46 Reorder the terms: -6 + 13z = -46 + 5z Solving -6 + 13z = -46 + 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. -6 + 13z + -5z = -46 + 5z + -5z Combine like terms: 13z + -5z = 8z -6 + 8z = -46 + 5z + -5z Combine like terms: 5z + -5z = 0 -6 + 8z = -46 + 0 -6 + 8z = -46 Add '6' to each side of the equation. -6 + 6 + 8z = -46 + 6 Combine like terms: -6 + 6 = 0 0 + 8z = -46 + 6 8z = -46 + 6 Combine like terms: -46 + 6 = -40 8z = -40 Divide each side by '8'. z = -5 Simplifying z = -5
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