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Simplifying 3z + 14 = 9 + -2z + -15 Reorder the terms: 14 + 3z = 9 + -2z + -15 Reorder the terms: 14 + 3z = 9 + -15 + -2z Combine like terms: 9 + -15 = -6 14 + 3z = -6 + -2z Solving 14 + 3z = -6 + -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. 14 + 3z + 2z = -6 + -2z + 2z Combine like terms: 3z + 2z = 5z 14 + 5z = -6 + -2z + 2z Combine like terms: -2z + 2z = 0 14 + 5z = -6 + 0 14 + 5z = -6 Add '-14' to each side of the equation. 14 + -14 + 5z = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 5z = -6 + -14 5z = -6 + -14 Combine like terms: -6 + -14 = -20 5z = -20 Divide each side by '5'. z = -4 Simplifying z = -4
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