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Simplifying z + 46 = 4z + -32 Reorder the terms: 46 + z = 4z + -32 Reorder the terms: 46 + z = -32 + 4z Solving 46 + z = -32 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 46 + z + -4z = -32 + 4z + -4z Combine like terms: z + -4z = -3z 46 + -3z = -32 + 4z + -4z Combine like terms: 4z + -4z = 0 46 + -3z = -32 + 0 46 + -3z = -32 Add '-46' to each side of the equation. 46 + -46 + -3z = -32 + -46 Combine like terms: 46 + -46 = 0 0 + -3z = -32 + -46 -3z = -32 + -46 Combine like terms: -32 + -46 = -78 -3z = -78 Divide each side by '-3'. z = 26 Simplifying z = 26
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