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Simplifying -4(b + 1) + 2b = 3(2b + -1) Reorder the terms: -4(1 + b) + 2b = 3(2b + -1) (1 * -4 + b * -4) + 2b = 3(2b + -1) (-4 + -4b) + 2b = 3(2b + -1) Combine like terms: -4b + 2b = -2b -4 + -2b = 3(2b + -1) Reorder the terms: -4 + -2b = 3(-1 + 2b) -4 + -2b = (-1 * 3 + 2b * 3) -4 + -2b = (-3 + 6b) Solving -4 + -2b = -3 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -4 + -2b + -6b = -3 + 6b + -6b Combine like terms: -2b + -6b = -8b -4 + -8b = -3 + 6b + -6b Combine like terms: 6b + -6b = 0 -4 + -8b = -3 + 0 -4 + -8b = -3 Add '4' to each side of the equation. -4 + 4 + -8b = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -8b = -3 + 4 -8b = -3 + 4 Combine like terms: -3 + 4 = 1 -8b = 1 Divide each side by '-8'. b = -0.125 Simplifying b = -0.125
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