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Simplifying -3(6 + -8) + -5 = 9(b + 2) + 1 Combine like terms: 6 + -8 = -2 -3(-2) + -5 = 9(b + 2) + 1 Multiply -3 * -2 6 + -5 = 9(b + 2) + 1 Combine like terms: 6 + -5 = 1 1 = 9(b + 2) + 1 Reorder the terms: 1 = 9(2 + b) + 1 1 = (2 * 9 + b * 9) + 1 1 = (18 + 9b) + 1 Reorder the terms: 1 = 18 + 1 + 9b Combine like terms: 18 + 1 = 19 1 = 19 + 9b Solving 1 = 19 + 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. 1 + -9b = 19 + 9b + -9b Combine like terms: 9b + -9b = 0 1 + -9b = 19 + 0 1 + -9b = 19 Add '-1' to each side of the equation. 1 + -1 + -9b = 19 + -1 Combine like terms: 1 + -1 = 0 0 + -9b = 19 + -1 -9b = 19 + -1 Combine like terms: 19 + -1 = 18 -9b = 18 Divide each side by '-9'. b = -2 Simplifying b = -2
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