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Simplifying 2z + -1(z + -1) + -6(1 + -1z) = 3(3z + 20) + 11z Reorder the terms: 2z + -1(-1 + z) + -6(1 + -1z) = 3(3z + 20) + 11z 2z + (-1 * -1 + z * -1) + -6(1 + -1z) = 3(3z + 20) + 11z 2z + (1 + -1z) + -6(1 + -1z) = 3(3z + 20) + 11z 2z + 1 + -1z + (1 * -6 + -1z * -6) = 3(3z + 20) + 11z 2z + 1 + -1z + (-6 + 6z) = 3(3z + 20) + 11z Reorder the terms: 1 + -6 + 2z + -1z + 6z = 3(3z + 20) + 11z Combine like terms: 1 + -6 = -5 -5 + 2z + -1z + 6z = 3(3z + 20) + 11z Combine like terms: 2z + -1z = 1z -5 + 1z + 6z = 3(3z + 20) + 11z Combine like terms: 1z + 6z = 7z -5 + 7z = 3(3z + 20) + 11z Reorder the terms: -5 + 7z = 3(20 + 3z) + 11z -5 + 7z = (20 * 3 + 3z * 3) + 11z -5 + 7z = (60 + 9z) + 11z Combine like terms: 9z + 11z = 20z -5 + 7z = 60 + 20z Solving -5 + 7z = 60 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. -5 + 7z + -20z = 60 + 20z + -20z Combine like terms: 7z + -20z = -13z -5 + -13z = 60 + 20z + -20z Combine like terms: 20z + -20z = 0 -5 + -13z = 60 + 0 -5 + -13z = 60 Add '5' to each side of the equation. -5 + 5 + -13z = 60 + 5 Combine like terms: -5 + 5 = 0 0 + -13z = 60 + 5 -13z = 60 + 5 Combine like terms: 60 + 5 = 65 -13z = 65 Divide each side by '-13'. z = -5 Simplifying z = -5
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