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Simplifying 8(3b + 11) = 7(2b + 4) Reorder the terms: 8(11 + 3b) = 7(2b + 4) (11 * 8 + 3b * 8) = 7(2b + 4) (88 + 24b) = 7(2b + 4) Reorder the terms: 88 + 24b = 7(4 + 2b) 88 + 24b = (4 * 7 + 2b * 7) 88 + 24b = (28 + 14b) Solving 88 + 24b = 28 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 88 + 24b + -14b = 28 + 14b + -14b Combine like terms: 24b + -14b = 10b 88 + 10b = 28 + 14b + -14b Combine like terms: 14b + -14b = 0 88 + 10b = 28 + 0 88 + 10b = 28 Add '-88' to each side of the equation. 88 + -88 + 10b = 28 + -88 Combine like terms: 88 + -88 = 0 0 + 10b = 28 + -88 10b = 28 + -88 Combine like terms: 28 + -88 = -60 10b = -60 Divide each side by '10'. b = -6 Simplifying b = -6
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