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Simplifying 3(2b + -1) + -5b + 2 = 11 + -8(b + 3) Reorder the terms: 3(-1 + 2b) + -5b + 2 = 11 + -8(b + 3) (-1 * 3 + 2b * 3) + -5b + 2 = 11 + -8(b + 3) (-3 + 6b) + -5b + 2 = 11 + -8(b + 3) Reorder the terms: -3 + 2 + 6b + -5b = 11 + -8(b + 3) Combine like terms: -3 + 2 = -1 -1 + 6b + -5b = 11 + -8(b + 3) Combine like terms: 6b + -5b = 1b -1 + 1b = 11 + -8(b + 3) Reorder the terms: -1 + 1b = 11 + -8(3 + b) -1 + 1b = 11 + (3 * -8 + b * -8) -1 + 1b = 11 + (-24 + -8b) Combine like terms: 11 + -24 = -13 -1 + 1b = -13 + -8b Solving -1 + 1b = -13 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -1 + 1b + 8b = -13 + -8b + 8b Combine like terms: 1b + 8b = 9b -1 + 9b = -13 + -8b + 8b Combine like terms: -8b + 8b = 0 -1 + 9b = -13 + 0 -1 + 9b = -13 Add '1' to each side of the equation. -1 + 1 + 9b = -13 + 1 Combine like terms: -1 + 1 = 0 0 + 9b = -13 + 1 9b = -13 + 1 Combine like terms: -13 + 1 = -12 9b = -12 Divide each side by '9'. b = -1.333333333 Simplifying b = -1.333333333
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