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Simplifying 5z + -1 = 9z + 1 Reorder the terms: -1 + 5z = 9z + 1 Reorder the terms: -1 + 5z = 1 + 9z Solving -1 + 5z = 1 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -1 + 5z + -9z = 1 + 9z + -9z Combine like terms: 5z + -9z = -4z -1 + -4z = 1 + 9z + -9z Combine like terms: 9z + -9z = 0 -1 + -4z = 1 + 0 -1 + -4z = 1 Add '1' to each side of the equation. -1 + 1 + -4z = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -4z = 1 + 1 -4z = 1 + 1 Combine like terms: 1 + 1 = 2 -4z = 2 Divide each side by '-4'. z = -0.5 Simplifying z = -0.5
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