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Simplifying (4z + -3) + -1(8 + -1z) = 0 Reorder the terms: (-3 + 4z) + -1(8 + -1z) = 0 Remove parenthesis around (-3 + 4z) -3 + 4z + -1(8 + -1z) = 0 -3 + 4z + (8 * -1 + -1z * -1) = 0 -3 + 4z + (-8 + 1z) = 0 Reorder the terms: -3 + -8 + 4z + 1z = 0 Combine like terms: -3 + -8 = -11 -11 + 4z + 1z = 0 Combine like terms: 4z + 1z = 5z -11 + 5z = 0 Solving -11 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 5z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 5z = 0 + 11 5z = 0 + 11 Combine like terms: 0 + 11 = 11 5z = 11 Divide each side by '5'. z = 2.2 Simplifying z = 2.2
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