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Simplifying 9(4b + -1) = 2 + -1(x + 3) Reorder the terms: 9(-1 + 4b) = 2 + -1(x + 3) (-1 * 9 + 4b * 9) = 2 + -1(x + 3) (-9 + 36b) = 2 + -1(x + 3) Reorder the terms: -9 + 36b = 2 + -1(3 + x) -9 + 36b = 2 + (3 * -1 + x * -1) -9 + 36b = 2 + (-3 + -1x) Combine like terms: 2 + -3 = -1 -9 + 36b = -1 + -1x Solving -9 + 36b = -1 + -1x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 36b = -1 + 9 + -1x Combine like terms: -9 + 9 = 0 0 + 36b = -1 + 9 + -1x 36b = -1 + 9 + -1x Combine like terms: -1 + 9 = 8 36b = 8 + -1x Divide each side by '36'. b = 0.2222222222 + -0.02777777778x Simplifying b = 0.2222222222 + -0.02777777778x
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