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Simplifying 5(z + -2) = 14 + -1z Reorder the terms: 5(-2 + z) = 14 + -1z (-2 * 5 + z * 5) = 14 + -1z (-10 + 5z) = 14 + -1z Solving -10 + 5z = 14 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -10 + 5z + z = 14 + -1z + z Combine like terms: 5z + z = 6z -10 + 6z = 14 + -1z + z Combine like terms: -1z + z = 0 -10 + 6z = 14 + 0 -10 + 6z = 14 Add '10' to each side of the equation. -10 + 10 + 6z = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 6z = 14 + 10 6z = 14 + 10 Combine like terms: 14 + 10 = 24 6z = 24 Divide each side by '6'. z = 4 Simplifying z = 4
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