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Simplifying 2(3b + 7) = 5(-2b + 1) Reorder the terms: 2(7 + 3b) = 5(-2b + 1) (7 * 2 + 3b * 2) = 5(-2b + 1) (14 + 6b) = 5(-2b + 1) Reorder the terms: 14 + 6b = 5(1 + -2b) 14 + 6b = (1 * 5 + -2b * 5) 14 + 6b = (5 + -10b) Solving 14 + 6b = 5 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 14 + 6b + 10b = 5 + -10b + 10b Combine like terms: 6b + 10b = 16b 14 + 16b = 5 + -10b + 10b Combine like terms: -10b + 10b = 0 14 + 16b = 5 + 0 14 + 16b = 5 Add '-14' to each side of the equation. 14 + -14 + 16b = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 16b = 5 + -14 16b = 5 + -14 Combine like terms: 5 + -14 = -9 16b = -9 Divide each side by '16'. b = -0.5625 Simplifying b = -0.5625
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