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Simplifying -4(b + 1) + 2b = 3(2n + -1) Reorder the terms: -4(1 + b) + 2b = 3(2n + -1) (1 * -4 + b * -4) + 2b = 3(2n + -1) (-4 + -4b) + 2b = 3(2n + -1) Combine like terms: -4b + 2b = -2b -4 + -2b = 3(2n + -1) Reorder the terms: -4 + -2b = 3(-1 + 2n) -4 + -2b = (-1 * 3 + 2n * 3) -4 + -2b = (-3 + 6n) Solving -4 + -2b = -3 + 6n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2b = -3 + 4 + 6n Combine like terms: -4 + 4 = 0 0 + -2b = -3 + 4 + 6n -2b = -3 + 4 + 6n Combine like terms: -3 + 4 = 1 -2b = 1 + 6n Divide each side by '-2'. b = -0.5 + -3n Simplifying b = -0.5 + -3n
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