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