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Simplifying 6z + -4(z + -5) + 14 = 0 Reorder the terms: 6z + -4(-5 + z) + 14 = 0 6z + (-5 * -4 + z * -4) + 14 = 0 6z + (20 + -4z) + 14 = 0 Reorder the terms: 20 + 14 + 6z + -4z = 0 Combine like terms: 20 + 14 = 34 34 + 6z + -4z = 0 Combine like terms: 6z + -4z = 2z 34 + 2z = 0 Solving 34 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 2z = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 2z = 0 + -34 2z = 0 + -34 Combine like terms: 0 + -34 = -34 2z = -34 Divide each side by '2'. z = -17 Simplifying z = -17
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