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