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Simplifying -5 + -3(9z + 1) = -4(6z + 9) + -5 Reorder the terms: -5 + -3(1 + 9z) = -4(6z + 9) + -5 -5 + (1 * -3 + 9z * -3) = -4(6z + 9) + -5 -5 + (-3 + -27z) = -4(6z + 9) + -5 Combine like terms: -5 + -3 = -8 -8 + -27z = -4(6z + 9) + -5 Reorder the terms: -8 + -27z = -4(9 + 6z) + -5 -8 + -27z = (9 * -4 + 6z * -4) + -5 -8 + -27z = (-36 + -24z) + -5 Reorder the terms: -8 + -27z = -36 + -5 + -24z Combine like terms: -36 + -5 = -41 -8 + -27z = -41 + -24z Solving -8 + -27z = -41 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. -8 + -27z + 24z = -41 + -24z + 24z Combine like terms: -27z + 24z = -3z -8 + -3z = -41 + -24z + 24z Combine like terms: -24z + 24z = 0 -8 + -3z = -41 + 0 -8 + -3z = -41 Add '8' to each side of the equation. -8 + 8 + -3z = -41 + 8 Combine like terms: -8 + 8 = 0 0 + -3z = -41 + 8 -3z = -41 + 8 Combine like terms: -41 + 8 = -33 -3z = -33 Divide each side by '-3'. z = 11 Simplifying z = 11
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