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Simplifying 3(4 + -1z) + -22 = 27z + -5(2 + 6) * z (4 * 3 + -1z * 3) + -22 = 27z + -5(2 + 6) * z (12 + -3z) + -22 = 27z + -5(2 + 6) * z Reorder the terms: 12 + -22 + -3z = 27z + -5(2 + 6) * z Combine like terms: 12 + -22 = -10 -10 + -3z = 27z + -5(2 + 6) * z Combine like terms: 2 + 6 = 8 -10 + -3z = 27z + -5(8) * z Multiply -5 * 8 -10 + -3z = 27z + -40z Combine like terms: 27z + -40z = -13z -10 + -3z = -13z Solving -10 + -3z = -13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13z' to each side of the equation. -10 + -3z + 13z = -13z + 13z Combine like terms: -3z + 13z = 10z -10 + 10z = -13z + 13z Combine like terms: -13z + 13z = 0 -10 + 10z = 0 Add '10' to each side of the equation. -10 + 10 + 10z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 10z = 0 + 10 10z = 0 + 10 Combine like terms: 0 + 10 = 10 10z = 10 Divide each side by '10'. z = 1 Simplifying z = 1
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