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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 = -2z -4 + -2z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + -2z = 9 + 0 -4 + -2z = 9 Add '4' to each side of the equation. -4 + 4 + -2z = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -2z = 9 + 4 -2z = 9 + 4 Combine like terms: 9 + 4 = 13 -2z = 13 Divide each side by '-2'. z = -6.5 Simplifying z = -6.5
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