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Simplifying 7z + -4 = 10z + 14 Reorder the terms: -4 + 7z = 10z + 14 Reorder the terms: -4 + 7z = 14 + 10z Solving -4 + 7z = 14 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -4 + 7z + -10z = 14 + 10z + -10z Combine like terms: 7z + -10z = -3z -4 + -3z = 14 + 10z + -10z Combine like terms: 10z + -10z = 0 -4 + -3z = 14 + 0 -4 + -3z = 14 Add '4' to each side of the equation. -4 + 4 + -3z = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = 14 + 4 -3z = 14 + 4 Combine like terms: 14 + 4 = 18 -3z = 18 Divide each side by '-3'. z = -6 Simplifying z = -6
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