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Simplifying b + -1 + 5(2v + 1) = -3(v + 4) Reorder the terms: b + -1 + 5(1 + 2v) = -3(v + 4) b + -1 + (1 * 5 + 2v * 5) = -3(v + 4) b + -1 + (5 + 10v) = -3(v + 4) Reorder the terms: -1 + 5 + b + 10v = -3(v + 4) Combine like terms: -1 + 5 = 4 4 + b + 10v = -3(v + 4) Reorder the terms: 4 + b + 10v = -3(4 + v) 4 + b + 10v = (4 * -3 + v * -3) 4 + b + 10v = (-12 + -3v) Solving 4 + b + 10v = -12 + -3v 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 + b + -4 + 10v = -12 + -4 + -3v Reorder the terms: 4 + -4 + b + 10v = -12 + -4 + -3v Combine like terms: 4 + -4 = 0 0 + b + 10v = -12 + -4 + -3v b + 10v = -12 + -4 + -3v Combine like terms: -12 + -4 = -16 b + 10v = -16 + -3v Add '-10v' to each side of the equation. b + 10v + -10v = -16 + -3v + -10v Combine like terms: 10v + -10v = 0 b + 0 = -16 + -3v + -10v b = -16 + -3v + -10v Combine like terms: -3v + -10v = -13v b = -16 + -13v Simplifying b = -16 + -13v
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