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Simplifying 7(4 + b) = 3b (4 * 7 + b * 7) = 3b (28 + 7b) = 3b Solving 28 + 7b = 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. 28 + 7b + -3b = 3b + -3b Combine like terms: 7b + -3b = 4b 28 + 4b = 3b + -3b Combine like terms: 3b + -3b = 0 28 + 4b = 0 Add '-28' to each side of the equation. 28 + -28 + 4b = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4b = 0 + -28 4b = 0 + -28 Combine like terms: 0 + -28 = -28 4b = -28 Divide each side by '4'. b = -7 Simplifying b = -7
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