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Simplifying 7(b + 2) = 4(b + 2) Reorder the terms: 7(2 + b) = 4(b + 2) (2 * 7 + b * 7) = 4(b + 2) (14 + 7b) = 4(b + 2) Reorder the terms: 14 + 7b = 4(2 + b) 14 + 7b = (2 * 4 + b * 4) 14 + 7b = (8 + 4b) Solving 14 + 7b = 8 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 14 + 7b + -4b = 8 + 4b + -4b Combine like terms: 7b + -4b = 3b 14 + 3b = 8 + 4b + -4b Combine like terms: 4b + -4b = 0 14 + 3b = 8 + 0 14 + 3b = 8 Add '-14' to each side of the equation. 14 + -14 + 3b = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 3b = 8 + -14 3b = 8 + -14 Combine like terms: 8 + -14 = -6 3b = -6 Divide each side by '3'. b = -2 Simplifying b = -2
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