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Simplifying 3z + 2 = 6z + -13 Reorder the terms: 2 + 3z = 6z + -13 Reorder the terms: 2 + 3z = -13 + 6z Solving 2 + 3z = -13 + 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 = -13 + 6z + -6z Combine like terms: 3z + -6z = -3z 2 + -3z = -13 + 6z + -6z Combine like terms: 6z + -6z = 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 = -15 -3z = -15 Divide each side by '-3'. z = 5 Simplifying z = 5
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