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Simplifying 6z + -2(z + 4) = 3(9 + -1z) Reorder the terms: 6z + -2(4 + z) = 3(9 + -1z) 6z + (4 * -2 + z * -2) = 3(9 + -1z) 6z + (-8 + -2z) = 3(9 + -1z) Reorder the terms: -8 + 6z + -2z = 3(9 + -1z) Combine like terms: 6z + -2z = 4z -8 + 4z = 3(9 + -1z) -8 + 4z = (9 * 3 + -1z * 3) -8 + 4z = (27 + -3z) Solving -8 + 4z = 27 + -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. -8 + 4z + 3z = 27 + -3z + 3z Combine like terms: 4z + 3z = 7z -8 + 7z = 27 + -3z + 3z Combine like terms: -3z + 3z = 0 -8 + 7z = 27 + 0 -8 + 7z = 27 Add '8' to each side of the equation. -8 + 8 + 7z = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 7z = 27 + 8 7z = 27 + 8 Combine like terms: 27 + 8 = 35 7z = 35 Divide each side by '7'. z = 5 Simplifying z = 5
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