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Simplifying -9(b + 1) + 4 = 3(2b + -7) + -1b Reorder the terms: -9(1 + b) + 4 = 3(2b + -7) + -1b (1 * -9 + b * -9) + 4 = 3(2b + -7) + -1b (-9 + -9b) + 4 = 3(2b + -7) + -1b Reorder the terms: -9 + 4 + -9b = 3(2b + -7) + -1b Combine like terms: -9 + 4 = -5 -5 + -9b = 3(2b + -7) + -1b Reorder the terms: -5 + -9b = 3(-7 + 2b) + -1b -5 + -9b = (-7 * 3 + 2b * 3) + -1b -5 + -9b = (-21 + 6b) + -1b Combine like terms: 6b + -1b = 5b -5 + -9b = -21 + 5b Solving -5 + -9b = -21 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -5 + -9b + -5b = -21 + 5b + -5b Combine like terms: -9b + -5b = -14b -5 + -14b = -21 + 5b + -5b Combine like terms: 5b + -5b = 0 -5 + -14b = -21 + 0 -5 + -14b = -21 Add '5' to each side of the equation. -5 + 5 + -14b = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -14b = -21 + 5 -14b = -21 + 5 Combine like terms: -21 + 5 = -16 -14b = -16 Divide each side by '-14'. b = 1.142857143 Simplifying b = 1.142857143
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