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Simplifying 3 + 2z + -2 = 6z + 13 + -2z Reorder the terms: 3 + -2 + 2z = 6z + 13 + -2z Combine like terms: 3 + -2 = 1 1 + 2z = 6z + 13 + -2z Reorder the terms: 1 + 2z = 13 + 6z + -2z Combine like terms: 6z + -2z = 4z 1 + 2z = 13 + 4z Solving 1 + 2z = 13 + 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. 1 + 2z + -4z = 13 + 4z + -4z Combine like terms: 2z + -4z = -2z 1 + -2z = 13 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + -2z = 13 + 0 1 + -2z = 13 Add '-1' to each side of the equation. 1 + -1 + -2z = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = 13 + -1 -2z = 13 + -1 Combine like terms: 13 + -1 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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