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Simplifying 112 = 7(1 + 3b) 112 = (1 * 7 + 3b * 7) 112 = (7 + 21b) Solving 112 = 7 + 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. 112 + -21b = 7 + 21b + -21b Combine like terms: 21b + -21b = 0 112 + -21b = 7 + 0 112 + -21b = 7 Add '-112' to each side of the equation. 112 + -112 + -21b = 7 + -112 Combine like terms: 112 + -112 = 0 0 + -21b = 7 + -112 -21b = 7 + -112 Combine like terms: 7 + -112 = -105 -21b = -105 Divide each side by '-21'. b = 5 Simplifying b = 5
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