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Simplifying 9b + -1(3 + -6z) = 0 9b + (3 * -1 + -6z * -1) = 0 9b + (-3 + 6z) = 0 Reorder the terms: -3 + 9b + 6z = 0 Solving -3 + 9b + 6z = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 9b + 3 + 6z = 0 + 3 Reorder the terms: -3 + 3 + 9b + 6z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 9b + 6z = 0 + 3 9b + 6z = 0 + 3 Combine like terms: 0 + 3 = 3 9b + 6z = 3 Add '-6z' to each side of the equation. 9b + 6z + -6z = 3 + -6z Combine like terms: 6z + -6z = 0 9b + 0 = 3 + -6z 9b = 3 + -6z Divide each side by '9'. b = 0.3333333333 + -0.6666666667z Simplifying b = 0.3333333333 + -0.6666666667z
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