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Simplifying 10z + 40 + -4z + -8 = 3z + -3 + 4 + -6 Reorder the terms: 40 + -8 + 10z + -4z = 3z + -3 + 4 + -6 Combine like terms: 40 + -8 = 32 32 + 10z + -4z = 3z + -3 + 4 + -6 Combine like terms: 10z + -4z = 6z 32 + 6z = 3z + -3 + 4 + -6 Reorder the terms: 32 + 6z = -3 + 4 + -6 + 3z Combine like terms: -3 + 4 = 1 32 + 6z = 1 + -6 + 3z Combine like terms: 1 + -6 = -5 32 + 6z = -5 + 3z Solving 32 + 6z = -5 + 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. 32 + 6z + -3z = -5 + 3z + -3z Combine like terms: 6z + -3z = 3z 32 + 3z = -5 + 3z + -3z Combine like terms: 3z + -3z = 0 32 + 3z = -5 + 0 32 + 3z = -5 Add '-32' to each side of the equation. 32 + -32 + 3z = -5 + -32 Combine like terms: 32 + -32 = 0 0 + 3z = -5 + -32 3z = -5 + -32 Combine like terms: -5 + -32 = -37 3z = -37 Divide each side by '3'. z = -12.33333333 Simplifying z = -12.33333333
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