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Simplifying 3 + -6b + -1(2k + 4) = 0 Reorder the terms: 3 + -6b + -1(4 + 2k) = 0 3 + -6b + (4 * -1 + 2k * -1) = 0 3 + -6b + (-4 + -2k) = 0 Reorder the terms: 3 + -4 + -6b + -2k = 0 Combine like terms: 3 + -4 = -1 -1 + -6b + -2k = 0 Solving -1 + -6b + -2k = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6b + 1 + -2k = 0 + 1 Reorder the terms: -1 + 1 + -6b + -2k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6b + -2k = 0 + 1 -6b + -2k = 0 + 1 Combine like terms: 0 + 1 = 1 -6b + -2k = 1 Add '2k' to each side of the equation. -6b + -2k + 2k = 1 + 2k Combine like terms: -2k + 2k = 0 -6b + 0 = 1 + 2k -6b = 1 + 2k Divide each side by '-6'. b = -0.1666666667 + -0.3333333333k Simplifying b = -0.1666666667 + -0.3333333333k
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