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Simplifying 1 + 3(4z + -5) = 4z + -14 + z Reorder the terms: 1 + 3(-5 + 4z) = 4z + -14 + z 1 + (-5 * 3 + 4z * 3) = 4z + -14 + z 1 + (-15 + 12z) = 4z + -14 + z Combine like terms: 1 + -15 = -14 -14 + 12z = 4z + -14 + z Reorder the terms: -14 + 12z = -14 + 4z + z Combine like terms: 4z + z = 5z -14 + 12z = -14 + 5z Add '14' to each side of the equation. -14 + 14 + 12z = -14 + 14 + 5z Combine like terms: -14 + 14 = 0 0 + 12z = -14 + 14 + 5z 12z = -14 + 14 + 5z Combine like terms: -14 + 14 = 0 12z = 0 + 5z 12z = 5z Solving 12z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 12z + -5z = 5z + -5z Combine like terms: 12z + -5z = 7z 7z = 5z + -5z Combine like terms: 5z + -5z = 0 7z = 0 Divide each side by '7'. z = 0 Simplifying z = 0
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