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Simplifying 7z + -20 = 10z + -16 + z Reorder the terms: -20 + 7z = 10z + -16 + z Reorder the terms: -20 + 7z = -16 + 10z + z Combine like terms: 10z + z = 11z -20 + 7z = -16 + 11z Solving -20 + 7z = -16 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -20 + 7z + -11z = -16 + 11z + -11z Combine like terms: 7z + -11z = -4z -20 + -4z = -16 + 11z + -11z Combine like terms: 11z + -11z = 0 -20 + -4z = -16 + 0 -20 + -4z = -16 Add '20' to each side of the equation. -20 + 20 + -4z = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -4z = -16 + 20 -4z = -16 + 20 Combine like terms: -16 + 20 = 4 -4z = 4 Divide each side by '-4'. z = -1 Simplifying z = -1
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