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Simplifying 3(z + 9) + -1(6z + -9) = -4z Reorder the terms: 3(9 + z) + -1(6z + -9) = -4z (9 * 3 + z * 3) + -1(6z + -9) = -4z (27 + 3z) + -1(6z + -9) = -4z Reorder the terms: 27 + 3z + -1(-9 + 6z) = -4z 27 + 3z + (-9 * -1 + 6z * -1) = -4z 27 + 3z + (9 + -6z) = -4z Reorder the terms: 27 + 9 + 3z + -6z = -4z Combine like terms: 27 + 9 = 36 36 + 3z + -6z = -4z Combine like terms: 3z + -6z = -3z 36 + -3z = -4z Solving 36 + -3z = -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 36 + -3z + 4z = -4z + 4z Combine like terms: -3z + 4z = 1z 36 + 1z = -4z + 4z Combine like terms: -4z + 4z = 0 36 + 1z = 0 Add '-36' to each side of the equation. 36 + -36 + 1z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 1z = 0 + -36 1z = 0 + -36 Combine like terms: 0 + -36 = -36 1z = -36 Divide each side by '1'. z = -36 Simplifying z = -36
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