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Simplifying 8z + -1(3 + 2z) = 3z + 1 8z + (3 * -1 + 2z * -1) = 3z + 1 8z + (-3 + -2z) = 3z + 1 Reorder the terms: -3 + 8z + -2z = 3z + 1 Combine like terms: 8z + -2z = 6z -3 + 6z = 3z + 1 Reorder the terms: -3 + 6z = 1 + 3z Solving -3 + 6z = 1 + 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. -3 + 6z + -3z = 1 + 3z + -3z Combine like terms: 6z + -3z = 3z -3 + 3z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -3 + 3z = 1 + 0 -3 + 3z = 1 Add '3' to each side of the equation. -3 + 3 + 3z = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = 1 + 3 3z = 1 + 3 Combine like terms: 1 + 3 = 4 3z = 4 Divide each side by '3'. z = 1.333333333 Simplifying z = 1.333333333
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