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Simplifying 1 + -2b + -1(15 + -9b) = 6b + -5 1 + -2b + (15 * -1 + -9b * -1) = 6b + -5 1 + -2b + (-15 + 9b) = 6b + -5 Reorder the terms: 1 + -15 + -2b + 9b = 6b + -5 Combine like terms: 1 + -15 = -14 -14 + -2b + 9b = 6b + -5 Combine like terms: -2b + 9b = 7b -14 + 7b = 6b + -5 Reorder the terms: -14 + 7b = -5 + 6b Solving -14 + 7b = -5 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -14 + 7b + -6b = -5 + 6b + -6b Combine like terms: 7b + -6b = 1b -14 + 1b = -5 + 6b + -6b Combine like terms: 6b + -6b = 0 -14 + 1b = -5 + 0 -14 + 1b = -5 Add '14' to each side of the equation. -14 + 14 + 1b = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -5 + 14 1b = -5 + 14 Combine like terms: -5 + 14 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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