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Simplifying 8 + 7(b + 2) = -3 + 6(b + 5) Reorder the terms: 8 + 7(2 + b) = -3 + 6(b + 5) 8 + (2 * 7 + b * 7) = -3 + 6(b + 5) 8 + (14 + 7b) = -3 + 6(b + 5) Combine like terms: 8 + 14 = 22 22 + 7b = -3 + 6(b + 5) Reorder the terms: 22 + 7b = -3 + 6(5 + b) 22 + 7b = -3 + (5 * 6 + b * 6) 22 + 7b = -3 + (30 + 6b) Combine like terms: -3 + 30 = 27 22 + 7b = 27 + 6b Solving 22 + 7b = 27 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 22 + 7b + -6b = 27 + 6b + -6b Combine like terms: 7b + -6b = 1b 22 + 1b = 27 + 6b + -6b Combine like terms: 6b + -6b = 0 22 + 1b = 27 + 0 22 + 1b = 27 Add '-22' to each side of the equation. 22 + -22 + 1b = 27 + -22 Combine like terms: 22 + -22 = 0 0 + 1b = 27 + -22 1b = 27 + -22 Combine like terms: 27 + -22 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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