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Simplifying -1(4 + -1z) = -3z + 9 (4 * -1 + -1z * -1) = -3z + 9 (-4 + 1z) = -3z + 9 Reorder the terms: -4 + 1z = 9 + -3z Solving -4 + 1z = 9 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -4 + 1z + 3z = 9 + -3z + 3z Combine like terms: 1z + 3z = 4z -4 + 4z = 9 + -3z + 3z Combine like terms: -3z + 3z = 0 -4 + 4z = 9 + 0 -4 + 4z = 9 Add '4' to each side of the equation. -4 + 4 + 4z = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 4z = 9 + 4 4z = 9 + 4 Combine like terms: 9 + 4 = 13 4z = 13 Divide each side by '4'. z = 3.25 Simplifying z = 3.25
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