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Simplifying 10 + -1(4z + -8) = 9 + -5z Reorder the terms: 10 + -1(-8 + 4z) = 9 + -5z 10 + (-8 * -1 + 4z * -1) = 9 + -5z 10 + (8 + -4z) = 9 + -5z Combine like terms: 10 + 8 = 18 18 + -4z = 9 + -5z Solving 18 + -4z = 9 + -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. 18 + -4z + 5z = 9 + -5z + 5z Combine like terms: -4z + 5z = 1z 18 + 1z = 9 + -5z + 5z Combine like terms: -5z + 5z = 0 18 + 1z = 9 + 0 18 + 1z = 9 Add '-18' to each side of the equation. 18 + -18 + 1z = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 1z = 9 + -18 1z = 9 + -18 Combine like terms: 9 + -18 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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