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