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Simplifying 4z + -2(z + -7) = 3 + 3z Reorder the terms: 4z + -2(-7 + z) = 3 + 3z 4z + (-7 * -2 + z * -2) = 3 + 3z 4z + (14 + -2z) = 3 + 3z Reorder the terms: 14 + 4z + -2z = 3 + 3z Combine like terms: 4z + -2z = 2z 14 + 2z = 3 + 3z Solving 14 + 2z = 3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 14 + 2z + -3z = 3 + 3z + -3z Combine like terms: 2z + -3z = -1z 14 + -1z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 14 + -1z = 3 + 0 14 + -1z = 3 Add '-14' to each side of the equation. 14 + -14 + -1z = 3 + -14 Combine like terms: 14 + -14 = 0 0 + -1z = 3 + -14 -1z = 3 + -14 Combine like terms: 3 + -14 = -11 -1z = -11 Divide each side by '-1'. z = 11 Simplifying z = 11
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