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Simplifying -5z + -2 + 2z = 10 + 6z Reorder the terms: -2 + -5z + 2z = 10 + 6z Combine like terms: -5z + 2z = -3z -2 + -3z = 10 + 6z Solving -2 + -3z = 10 + 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 + -3z + -6z = 10 + 6z + -6z Combine like terms: -3z + -6z = -9z -2 + -9z = 10 + 6z + -6z Combine like terms: 6z + -6z = 0 -2 + -9z = 10 + 0 -2 + -9z = 10 Add '2' to each side of the equation. -2 + 2 + -9z = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -9z = 10 + 2 -9z = 10 + 2 Combine like terms: 10 + 2 = 12 -9z = 12 Divide each side by '-9'. z = -1.333333333 Simplifying z = -1.333333333
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