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Simplifying 8 + -1(4z + -3) = 4 + -5z Reorder the terms: 8 + -1(-3 + 4z) = 4 + -5z 8 + (-3 * -1 + 4z * -1) = 4 + -5z 8 + (3 + -4z) = 4 + -5z Combine like terms: 8 + 3 = 11 11 + -4z = 4 + -5z Solving 11 + -4z = 4 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 11 + -4z + 5z = 4 + -5z + 5z Combine like terms: -4z + 5z = 1z 11 + 1z = 4 + -5z + 5z Combine like terms: -5z + 5z = 0 11 + 1z = 4 + 0 11 + 1z = 4 Add '-11' to each side of the equation. 11 + -11 + 1z = 4 + -11 Combine like terms: 11 + -11 = 0 0 + 1z = 4 + -11 1z = 4 + -11 Combine like terms: 4 + -11 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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