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Simplifying -3(3z + 2) + -1z = 24 + 3z Reorder the terms: -3(2 + 3z) + -1z = 24 + 3z (2 * -3 + 3z * -3) + -1z = 24 + 3z (-6 + -9z) + -1z = 24 + 3z Combine like terms: -9z + -1z = -10z -6 + -10z = 24 + 3z Solving -6 + -10z = 24 + 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. -6 + -10z + -3z = 24 + 3z + -3z Combine like terms: -10z + -3z = -13z -6 + -13z = 24 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + -13z = 24 + 0 -6 + -13z = 24 Add '6' to each side of the equation. -6 + 6 + -13z = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -13z = 24 + 6 -13z = 24 + 6 Combine like terms: 24 + 6 = 30 -13z = 30 Divide each side by '-13'. z = -2.307692308 Simplifying z = -2.307692308
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