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Simplifying 10 + -1(4z + -9) = 1 + -5z Reorder the terms: 10 + -1(-9 + 4z) = 1 + -5z 10 + (-9 * -1 + 4z * -1) = 1 + -5z 10 + (9 + -4z) = 1 + -5z Combine like terms: 10 + 9 = 19 19 + -4z = 1 + -5z Solving 19 + -4z = 1 + -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. 19 + -4z + 5z = 1 + -5z + 5z Combine like terms: -4z + 5z = 1z 19 + 1z = 1 + -5z + 5z Combine like terms: -5z + 5z = 0 19 + 1z = 1 + 0 19 + 1z = 1 Add '-19' to each side of the equation. 19 + -19 + 1z = 1 + -19 Combine like terms: 19 + -19 = 0 0 + 1z = 1 + -19 1z = 1 + -19 Combine like terms: 1 + -19 = -18 1z = -18 Divide each side by '1'. z = -18 Simplifying z = -18
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