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Simplifying -5z + 14 = -3z + 2 Reorder the terms: 14 + -5z = -3z + 2 Reorder the terms: 14 + -5z = 2 + -3z Solving 14 + -5z = 2 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 14 + -5z + 3z = 2 + -3z + 3z Combine like terms: -5z + 3z = -2z 14 + -2z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 14 + -2z = 2 + 0 14 + -2z = 2 Add '-14' to each side of the equation. 14 + -14 + -2z = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -2z = 2 + -14 -2z = 2 + -14 Combine like terms: 2 + -14 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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