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Simplifying -2(3z + -1) = 13 + -2z Reorder the terms: -2(-1 + 3z) = 13 + -2z (-1 * -2 + 3z * -2) = 13 + -2z (2 + -6z) = 13 + -2z Solving 2 + -6z = 13 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 2 + -6z + 2z = 13 + -2z + 2z Combine like terms: -6z + 2z = -4z 2 + -4z = 13 + -2z + 2z Combine like terms: -2z + 2z = 0 2 + -4z = 13 + 0 2 + -4z = 13 Add '-2' to each side of the equation. 2 + -2 + -4z = 13 + -2 Combine like terms: 2 + -2 = 0 0 + -4z = 13 + -2 -4z = 13 + -2 Combine like terms: 13 + -2 = 11 -4z = 11 Divide each side by '-4'. z = -2.75 Simplifying z = -2.75
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