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Simplifying -11(-3 + -8b) = -7 + 7(8 + 12b) (-3 * -11 + -8b * -11) = -7 + 7(8 + 12b) (33 + 88b) = -7 + 7(8 + 12b) 33 + 88b = -7 + (8 * 7 + 12b * 7) 33 + 88b = -7 + (56 + 84b) Combine like terms: -7 + 56 = 49 33 + 88b = 49 + 84b Solving 33 + 88b = 49 + 84b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-84b' to each side of the equation. 33 + 88b + -84b = 49 + 84b + -84b Combine like terms: 88b + -84b = 4b 33 + 4b = 49 + 84b + -84b Combine like terms: 84b + -84b = 0 33 + 4b = 49 + 0 33 + 4b = 49 Add '-33' to each side of the equation. 33 + -33 + 4b = 49 + -33 Combine like terms: 33 + -33 = 0 0 + 4b = 49 + -33 4b = 49 + -33 Combine like terms: 49 + -33 = 16 4b = 16 Divide each side by '4'. b = 4 Simplifying b = 4
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