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Simplifying 3z + -2(z + -7) = 2 + 2z Reorder the terms: 3z + -2(-7 + z) = 2 + 2z 3z + (-7 * -2 + z * -2) = 2 + 2z 3z + (14 + -2z) = 2 + 2z Reorder the terms: 14 + 3z + -2z = 2 + 2z Combine like terms: 3z + -2z = 1z 14 + 1z = 2 + 2z Solving 14 + 1z = 2 + 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. 14 + 1z + -2z = 2 + 2z + -2z Combine like terms: 1z + -2z = -1z 14 + -1z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 14 + -1z = 2 + 0 14 + -1z = 2 Add '-14' to each side of the equation. 14 + -14 + -1z = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -1z = 2 + -14 -1z = 2 + -14 Combine like terms: 2 + -14 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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