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Simplifying 10 + -1(4z + -4) = 9 + -5z Reorder the terms: 10 + -1(-4 + 4z) = 9 + -5z 10 + (-4 * -1 + 4z * -1) = 9 + -5z 10 + (4 + -4z) = 9 + -5z Combine like terms: 10 + 4 = 14 14 + -4z = 9 + -5z Solving 14 + -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. 14 + -4z + 5z = 9 + -5z + 5z Combine like terms: -4z + 5z = 1z 14 + 1z = 9 + -5z + 5z Combine like terms: -5z + 5z = 0 14 + 1z = 9 + 0 14 + 1z = 9 Add '-14' to each side of the equation. 14 + -14 + 1z = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 9 + -14 1z = 9 + -14 Combine like terms: 9 + -14 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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