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Simplifying -5z + -2 = 2z + -9 + -8z Reorder the terms: -2 + -5z = 2z + -9 + -8z Reorder the terms: -2 + -5z = -9 + 2z + -8z Combine like terms: 2z + -8z = -6z -2 + -5z = -9 + -6z Solving -2 + -5z = -9 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -2 + -5z + 6z = -9 + -6z + 6z Combine like terms: -5z + 6z = 1z -2 + 1z = -9 + -6z + 6z Combine like terms: -6z + 6z = 0 -2 + 1z = -9 + 0 -2 + 1z = -9 Add '2' to each side of the equation. -2 + 2 + 1z = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 1z = -9 + 2 1z = -9 + 2 Combine like terms: -9 + 2 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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