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Simplifying 2(8b + 7) + 6b = 5(3b + 6) Reorder the terms: 2(7 + 8b) + 6b = 5(3b + 6) (7 * 2 + 8b * 2) + 6b = 5(3b + 6) (14 + 16b) + 6b = 5(3b + 6) Combine like terms: 16b + 6b = 22b 14 + 22b = 5(3b + 6) Reorder the terms: 14 + 22b = 5(6 + 3b) 14 + 22b = (6 * 5 + 3b * 5) 14 + 22b = (30 + 15b) Solving 14 + 22b = 30 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 14 + 22b + -15b = 30 + 15b + -15b Combine like terms: 22b + -15b = 7b 14 + 7b = 30 + 15b + -15b Combine like terms: 15b + -15b = 0 14 + 7b = 30 + 0 14 + 7b = 30 Add '-14' to each side of the equation. 14 + -14 + 7b = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 7b = 30 + -14 7b = 30 + -14 Combine like terms: 30 + -14 = 16 7b = 16 Divide each side by '7'. b = 2.285714286 Simplifying b = 2.285714286
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