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Simplifying 3z + -46 = z + -17 Reorder the terms: -46 + 3z = z + -17 Reorder the terms: -46 + 3z = -17 + z Solving -46 + 3z = -17 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -46 + 3z + -1z = -17 + z + -1z Combine like terms: 3z + -1z = 2z -46 + 2z = -17 + z + -1z Combine like terms: z + -1z = 0 -46 + 2z = -17 + 0 -46 + 2z = -17 Add '46' to each side of the equation. -46 + 46 + 2z = -17 + 46 Combine like terms: -46 + 46 = 0 0 + 2z = -17 + 46 2z = -17 + 46 Combine like terms: -17 + 46 = 29 2z = 29 Divide each side by '2'. z = 14.5 Simplifying z = 14.5
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