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Simplifying 8 + -1(2z + -3) = 2 + -3z Reorder the terms: 8 + -1(-3 + 2z) = 2 + -3z 8 + (-3 * -1 + 2z * -1) = 2 + -3z 8 + (3 + -2z) = 2 + -3z Combine like terms: 8 + 3 = 11 11 + -2z = 2 + -3z Solving 11 + -2z = 2 + -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. 11 + -2z + 3z = 2 + -3z + 3z Combine like terms: -2z + 3z = 1z 11 + 1z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 11 + 1z = 2 + 0 11 + 1z = 2 Add '-11' to each side of the equation. 11 + -11 + 1z = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 1z = 2 + -11 1z = 2 + -11 Combine like terms: 2 + -11 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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