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Simplifying -4(z + 9) = 4 + -3z Reorder the terms: -4(9 + z) = 4 + -3z (9 * -4 + z * -4) = 4 + -3z (-36 + -4z) = 4 + -3z Solving -36 + -4z = 4 + -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 = 4 + -3z + 3z Combine like terms: -4z + 3z = -1z -36 + -1z = 4 + -3z + 3z Combine like terms: -3z + 3z = 0 -36 + -1z = 4 + 0 -36 + -1z = 4 Add '36' to each side of the equation. -36 + 36 + -1z = 4 + 36 Combine like terms: -36 + 36 = 0 0 + -1z = 4 + 36 -1z = 4 + 36 Combine like terms: 4 + 36 = 40 -1z = 40 Divide each side by '-1'. z = -40 Simplifying z = -40
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