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Simplifying 5z + -19 = -46 + 2z Reorder the terms: -19 + 5z = -46 + 2z Solving -19 + 5z = -46 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -19 + 5z + -2z = -46 + 2z + -2z Combine like terms: 5z + -2z = 3z -19 + 3z = -46 + 2z + -2z Combine like terms: 2z + -2z = 0 -19 + 3z = -46 + 0 -19 + 3z = -46 Add '19' to each side of the equation. -19 + 19 + 3z = -46 + 19 Combine like terms: -19 + 19 = 0 0 + 3z = -46 + 19 3z = -46 + 19 Combine like terms: -46 + 19 = -27 3z = -27 Divide each side by '3'. z = -9 Simplifying z = -9
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