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Simplifying 2 = 2(3z + -7) Reorder the terms: 2 = 2(-7 + 3z) 2 = (-7 * 2 + 3z * 2) 2 = (-14 + 6z) Solving 2 = -14 + 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 + -6z = -14 + 6z + -6z Combine like terms: 6z + -6z = 0 2 + -6z = -14 + 0 2 + -6z = -14 Add '-2' to each side of the equation. 2 + -2 + -6z = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -6z = -14 + -2 -6z = -14 + -2 Combine like terms: -14 + -2 = -16 -6z = -16 Divide each side by '-6'. z = 2.666666667 Simplifying z = 2.666666667
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