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Simplifying -4(z + 9) = -3z + -6 Reorder the terms: -4(9 + z) = -3z + -6 (9 * -4 + z * -4) = -3z + -6 (-36 + -4z) = -3z + -6 Reorder the terms: -36 + -4z = -6 + -3z Solving -36 + -4z = -6 + -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. -36 + -4z + 3z = -6 + -3z + 3z Combine like terms: -4z + 3z = -1z -36 + -1z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 -36 + -1z = -6 + 0 -36 + -1z = -6 Add '36' to each side of the equation. -36 + 36 + -1z = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -1z = -6 + 36 -1z = -6 + 36 Combine like terms: -6 + 36 = 30 -1z = 30 Divide each side by '-1'. z = -30 Simplifying z = -30
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