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Simplifying -1z + -14 = 2z + 10 Reorder the terms: -14 + -1z = 2z + 10 Reorder the terms: -14 + -1z = 10 + 2z Solving -14 + -1z = 10 + 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 + -1z + -2z = 10 + 2z + -2z Combine like terms: -1z + -2z = -3z -14 + -3z = 10 + 2z + -2z Combine like terms: 2z + -2z = 0 -14 + -3z = 10 + 0 -14 + -3z = 10 Add '14' to each side of the equation. -14 + 14 + -3z = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -3z = 10 + 14 -3z = 10 + 14 Combine like terms: 10 + 14 = 24 -3z = 24 Divide each side by '-3'. z = -8 Simplifying z = -8
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