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Simplifying 3z + -1(-1 + 4z) = -9 3z + (-1 * -1 + 4z * -1) = -9 3z + (1 + -4z) = -9 Reorder the terms: 1 + 3z + -4z = -9 Combine like terms: 3z + -4z = -1z 1 + -1z = -9 Solving 1 + -1z = -9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1z = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = -9 + -1 -1z = -9 + -1 Combine like terms: -9 + -1 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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