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Simplifying 9 + -6(-4z + -4) = 7(-3z + 1) + -1 Reorder the terms: 9 + -6(-4 + -4z) = 7(-3z + 1) + -1 9 + (-4 * -6 + -4z * -6) = 7(-3z + 1) + -1 9 + (24 + 24z) = 7(-3z + 1) + -1 Combine like terms: 9 + 24 = 33 33 + 24z = 7(-3z + 1) + -1 Reorder the terms: 33 + 24z = 7(1 + -3z) + -1 33 + 24z = (1 * 7 + -3z * 7) + -1 33 + 24z = (7 + -21z) + -1 Reorder the terms: 33 + 24z = 7 + -1 + -21z Combine like terms: 7 + -1 = 6 33 + 24z = 6 + -21z Solving 33 + 24z = 6 + -21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21z' to each side of the equation. 33 + 24z + 21z = 6 + -21z + 21z Combine like terms: 24z + 21z = 45z 33 + 45z = 6 + -21z + 21z Combine like terms: -21z + 21z = 0 33 + 45z = 6 + 0 33 + 45z = 6 Add '-33' to each side of the equation. 33 + -33 + 45z = 6 + -33 Combine like terms: 33 + -33 = 0 0 + 45z = 6 + -33 45z = 6 + -33 Combine like terms: 6 + -33 = -27 45z = -27 Divide each side by '45'. z = -0.6 Simplifying z = -0.6
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