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Simplifying 6(2z + -1) + -4(2 + 8) = 3(2 + 1) Reorder the terms: 6(-1 + 2z) + -4(2 + 8) = 3(2 + 1) (-1 * 6 + 2z * 6) + -4(2 + 8) = 3(2 + 1) (-6 + 12z) + -4(2 + 8) = 3(2 + 1) Combine like terms: 2 + 8 = 10 -6 + 12z + -4(10) = 3(2 + 1) Multiply -4 * 10 -6 + 12z + -40 = 3(2 + 1) Reorder the terms: -6 + -40 + 12z = 3(2 + 1) Combine like terms: -6 + -40 = -46 -46 + 12z = 3(2 + 1) Combine like terms: 2 + 1 = 3 -46 + 12z = 3(3) Multiply 3 * 3 -46 + 12z = 9 Solving -46 + 12z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 12z = 9 + 46 Combine like terms: -46 + 46 = 0 0 + 12z = 9 + 46 12z = 9 + 46 Combine like terms: 9 + 46 = 55 12z = 55 Divide each side by '12'. z = 4.583333333 Simplifying z = 4.583333333
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