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Simplifying 14 + -1(2z + 5) = 2z + 9 Reorder the terms: 14 + -1(5 + 2z) = 2z + 9 14 + (5 * -1 + 2z * -1) = 2z + 9 14 + (-5 + -2z) = 2z + 9 Combine like terms: 14 + -5 = 9 9 + -2z = 2z + 9 Reorder the terms: 9 + -2z = 9 + 2z Add '-9' to each side of the equation. 9 + -9 + -2z = 9 + -9 + 2z Combine like terms: 9 + -9 = 0 0 + -2z = 9 + -9 + 2z -2z = 9 + -9 + 2z Combine like terms: 9 + -9 = 0 -2z = 0 + 2z -2z = 2z Solving -2z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -2z + -2z = 2z + -2z Combine like terms: -2z + -2z = -4z -4z = 2z + -2z Combine like terms: 2z + -2z = 0 -4z = 0 Divide each side by '-4'. z = 0 Simplifying z = 0
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