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Simplifying -3z + -14 = -4z + 10 Reorder the terms: -14 + -3z = -4z + 10 Reorder the terms: -14 + -3z = 10 + -4z Solving -14 + -3z = 10 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -14 + -3z + 4z = 10 + -4z + 4z Combine like terms: -3z + 4z = 1z -14 + 1z = 10 + -4z + 4z Combine like terms: -4z + 4z = 0 -14 + 1z = 10 + 0 -14 + 1z = 10 Add '14' to each side of the equation. -14 + 14 + 1z = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 1z = 10 + 14 1z = 10 + 14 Combine like terms: 10 + 14 = 24 1z = 24 Divide each side by '1'. z = 24 Simplifying z = 24
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