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Simplifying 7(2b + 5) = 4b + -9 + -1b Reorder the terms: 7(5 + 2b) = 4b + -9 + -1b (5 * 7 + 2b * 7) = 4b + -9 + -1b (35 + 14b) = 4b + -9 + -1b Reorder the terms: 35 + 14b = -9 + 4b + -1b Combine like terms: 4b + -1b = 3b 35 + 14b = -9 + 3b Solving 35 + 14b = -9 + 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. 35 + 14b + -3b = -9 + 3b + -3b Combine like terms: 14b + -3b = 11b 35 + 11b = -9 + 3b + -3b Combine like terms: 3b + -3b = 0 35 + 11b = -9 + 0 35 + 11b = -9 Add '-35' to each side of the equation. 35 + -35 + 11b = -9 + -35 Combine like terms: 35 + -35 = 0 0 + 11b = -9 + -35 11b = -9 + -35 Combine like terms: -9 + -35 = -44 11b = -44 Divide each side by '11'. b = -4 Simplifying b = -4
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