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Simplifying 3(6z + -1) + -2(z + 4) = 2z + 1 Reorder the terms: 3(-1 + 6z) + -2(z + 4) = 2z + 1 (-1 * 3 + 6z * 3) + -2(z + 4) = 2z + 1 (-3 + 18z) + -2(z + 4) = 2z + 1 Reorder the terms: -3 + 18z + -2(4 + z) = 2z + 1 -3 + 18z + (4 * -2 + z * -2) = 2z + 1 -3 + 18z + (-8 + -2z) = 2z + 1 Reorder the terms: -3 + -8 + 18z + -2z = 2z + 1 Combine like terms: -3 + -8 = -11 -11 + 18z + -2z = 2z + 1 Combine like terms: 18z + -2z = 16z -11 + 16z = 2z + 1 Reorder the terms: -11 + 16z = 1 + 2z Solving -11 + 16z = 1 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -11 + 16z + -2z = 1 + 2z + -2z Combine like terms: 16z + -2z = 14z -11 + 14z = 1 + 2z + -2z Combine like terms: 2z + -2z = 0 -11 + 14z = 1 + 0 -11 + 14z = 1 Add '11' to each side of the equation. -11 + 11 + 14z = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 14z = 1 + 11 14z = 1 + 11 Combine like terms: 1 + 11 = 12 14z = 12 Divide each side by '14'. z = 0.8571428571 Simplifying z = 0.8571428571
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