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Simplifying 3(6z + -1) + -2(z + 6) = (6z + 1) Reorder the terms: 3(-1 + 6z) + -2(z + 6) = (6z + 1) (-1 * 3 + 6z * 3) + -2(z + 6) = (6z + 1) (-3 + 18z) + -2(z + 6) = (6z + 1) Reorder the terms: -3 + 18z + -2(6 + z) = (6z + 1) -3 + 18z + (6 * -2 + z * -2) = (6z + 1) -3 + 18z + (-12 + -2z) = (6z + 1) Reorder the terms: -3 + -12 + 18z + -2z = (6z + 1) Combine like terms: -3 + -12 = -15 -15 + 18z + -2z = (6z + 1) Combine like terms: 18z + -2z = 16z -15 + 16z = (6z + 1) Reorder the terms: -15 + 16z = (1 + 6z) Remove parenthesis around (1 + 6z) -15 + 16z = 1 + 6z Solving -15 + 16z = 1 + 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. -15 + 16z + -6z = 1 + 6z + -6z Combine like terms: 16z + -6z = 10z -15 + 10z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 -15 + 10z = 1 + 0 -15 + 10z = 1 Add '15' to each side of the equation. -15 + 15 + 10z = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 10z = 1 + 15 10z = 1 + 15 Combine like terms: 1 + 15 = 16 10z = 16 Divide each side by '10'. z = 1.6 Simplifying z = 1.6
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