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Simplifying 12 + -8z + -16 = 7z + 40 + -4z Reorder the terms: 12 + -16 + -8z = 7z + 40 + -4z Combine like terms: 12 + -16 = -4 -4 + -8z = 7z + 40 + -4z Reorder the terms: -4 + -8z = 40 + 7z + -4z Combine like terms: 7z + -4z = 3z -4 + -8z = 40 + 3z Solving -4 + -8z = 40 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -4 + -8z + -3z = 40 + 3z + -3z Combine like terms: -8z + -3z = -11z -4 + -11z = 40 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + -11z = 40 + 0 -4 + -11z = 40 Add '4' to each side of the equation. -4 + 4 + -11z = 40 + 4 Combine like terms: -4 + 4 = 0 0 + -11z = 40 + 4 -11z = 40 + 4 Combine like terms: 40 + 4 = 44 -11z = 44 Divide each side by '-11'. z = -4 Simplifying z = -4
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