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Simplifying 5z + -2 = 9z + -6 Reorder the terms: -2 + 5z = 9z + -6 Reorder the terms: -2 + 5z = -6 + 9z Solving -2 + 5z = -6 + 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. -2 + 5z + -9z = -6 + 9z + -9z Combine like terms: 5z + -9z = -4z -2 + -4z = -6 + 9z + -9z Combine like terms: 9z + -9z = 0 -2 + -4z = -6 + 0 -2 + -4z = -6 Add '2' to each side of the equation. -2 + 2 + -4z = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -4z = -6 + 2 -4z = -6 + 2 Combine like terms: -6 + 2 = -4 -4z = -4 Divide each side by '-4'. z = 1 Simplifying z = 1
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