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Simplifying -6z + 2 = 13 + -3z Reorder the terms: 2 + -6z = 13 + -3z Solving 2 + -6z = 13 + -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. 2 + -6z + 3z = 13 + -3z + 3z Combine like terms: -6z + 3z = -3z 2 + -3z = 13 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + -3z = 13 + 0 2 + -3z = 13 Add '-2' to each side of the equation. 2 + -2 + -3z = 13 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = 13 + -2 -3z = 13 + -2 Combine like terms: 13 + -2 = 11 -3z = 11 Divide each side by '-3'. z = -3.666666667 Simplifying z = -3.666666667
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