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