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Simplifying 5k + -3(b + 3k) + -3b = 0 5k + (b * -3 + 3k * -3) + -3b = 0 5k + (-3b + -9k) + -3b = 0 Reorder the terms: -3b + -3b + 5k + -9k = 0 Combine like terms: -3b + -3b = -6b -6b + 5k + -9k = 0 Combine like terms: 5k + -9k = -4k -6b + -4k = 0 Solving -6b + -4k = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4k' to each side of the equation. -6b + -4k + 4k = 0 + 4k Combine like terms: -4k + 4k = 0 -6b + 0 = 0 + 4k -6b = 0 + 4k Remove the zero: -6b = 4k Divide each side by '-6'. b = -0.6666666667k Simplifying b = -0.6666666667k
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