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Simplifying 3b + 9 = -2 + 6.9(b + 8) Reorder the terms: 9 + 3b = -2 + 6.9(b + 8) Reorder the terms: 9 + 3b = -2 + 6.9(8 + b) 9 + 3b = -2 + (8 * 6.9 + b * 6.9) 9 + 3b = -2 + (55.2 + 6.9b) Combine like terms: -2 + 55.2 = 53.2 9 + 3b = 53.2 + 6.9b Solving 9 + 3b = 53.2 + 6.9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6.9b' to each side of the equation. 9 + 3b + -6.9b = 53.2 + 6.9b + -6.9b Combine like terms: 3b + -6.9b = -3.9b 9 + -3.9b = 53.2 + 6.9b + -6.9b Combine like terms: 6.9b + -6.9b = 0.0 9 + -3.9b = 53.2 + 0.0 9 + -3.9b = 53.2 Add '-9' to each side of the equation. 9 + -9 + -3.9b = 53.2 + -9 Combine like terms: 9 + -9 = 0 0 + -3.9b = 53.2 + -9 -3.9b = 53.2 + -9 Combine like terms: 53.2 + -9 = 44.2 -3.9b = 44.2 Divide each side by '-3.9'. b = -11.33333333 Simplifying b = -11.33333333
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