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Simplifying -10 + -6z = 3z + 2 Reorder the terms: -10 + -6z = 2 + 3z Solving -10 + -6z = 2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -10 + -6z + -3z = 2 + 3z + -3z Combine like terms: -6z + -3z = -9z -10 + -9z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 -10 + -9z = 2 + 0 -10 + -9z = 2 Add '10' to each side of the equation. -10 + 10 + -9z = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -9z = 2 + 10 -9z = 2 + 10 Combine like terms: 2 + 10 = 12 -9z = 12 Divide each side by '-9'. z = -1.333333333 Simplifying z = -1.333333333
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