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Simplifying 8(b + -2) + 3b = -9(b + -1) Reorder the terms: 8(-2 + b) + 3b = -9(b + -1) (-2 * 8 + b * 8) + 3b = -9(b + -1) (-16 + 8b) + 3b = -9(b + -1) Combine like terms: 8b + 3b = 11b -16 + 11b = -9(b + -1) Reorder the terms: -16 + 11b = -9(-1 + b) -16 + 11b = (-1 * -9 + b * -9) -16 + 11b = (9 + -9b) Solving -16 + 11b = 9 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -16 + 11b + 9b = 9 + -9b + 9b Combine like terms: 11b + 9b = 20b -16 + 20b = 9 + -9b + 9b Combine like terms: -9b + 9b = 0 -16 + 20b = 9 + 0 -16 + 20b = 9 Add '16' to each side of the equation. -16 + 16 + 20b = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 20b = 9 + 16 20b = 9 + 16 Combine like terms: 9 + 16 = 25 20b = 25 Divide each side by '20'. b = 1.25 Simplifying b = 1.25
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