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Simplifying 7b + 14 + -8b = -4(2b + 5) + -9b Reorder the terms: 14 + 7b + -8b = -4(2b + 5) + -9b Combine like terms: 7b + -8b = -1b 14 + -1b = -4(2b + 5) + -9b Reorder the terms: 14 + -1b = -4(5 + 2b) + -9b 14 + -1b = (5 * -4 + 2b * -4) + -9b 14 + -1b = (-20 + -8b) + -9b Combine like terms: -8b + -9b = -17b 14 + -1b = -20 + -17b Solving 14 + -1b = -20 + -17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17b' to each side of the equation. 14 + -1b + 17b = -20 + -17b + 17b Combine like terms: -1b + 17b = 16b 14 + 16b = -20 + -17b + 17b Combine like terms: -17b + 17b = 0 14 + 16b = -20 + 0 14 + 16b = -20 Add '-14' to each side of the equation. 14 + -14 + 16b = -20 + -14 Combine like terms: 14 + -14 = 0 0 + 16b = -20 + -14 16b = -20 + -14 Combine like terms: -20 + -14 = -34 16b = -34 Divide each side by '16'. b = -2.125 Simplifying b = -2.125
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