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Simplifying 3(6z + -1) + -2(z + 4) = 6(z + 1) Reorder the terms: 3(-1 + 6z) + -2(z + 4) = 6(z + 1) (-1 * 3 + 6z * 3) + -2(z + 4) = 6(z + 1) (-3 + 18z) + -2(z + 4) = 6(z + 1) Reorder the terms: -3 + 18z + -2(4 + z) = 6(z + 1) -3 + 18z + (4 * -2 + z * -2) = 6(z + 1) -3 + 18z + (-8 + -2z) = 6(z + 1) Reorder the terms: -3 + -8 + 18z + -2z = 6(z + 1) Combine like terms: -3 + -8 = -11 -11 + 18z + -2z = 6(z + 1) Combine like terms: 18z + -2z = 16z -11 + 16z = 6(z + 1) Reorder the terms: -11 + 16z = 6(1 + z) -11 + 16z = (1 * 6 + z * 6) -11 + 16z = (6 + 6z) Solving -11 + 16z = 6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -11 + 16z + -6z = 6 + 6z + -6z Combine like terms: 16z + -6z = 10z -11 + 10z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 -11 + 10z = 6 + 0 -11 + 10z = 6 Add '11' to each side of the equation. -11 + 11 + 10z = 6 + 11 Combine like terms: -11 + 11 = 0 0 + 10z = 6 + 11 10z = 6 + 11 Combine like terms: 6 + 11 = 17 10z = 17 Divide each side by '10'. z = 1.7 Simplifying z = 1.7
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