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Simplifying 107 = 2 + -7(1 + -2b) 107 = 2 + (1 * -7 + -2b * -7) 107 = 2 + (-7 + 14b) Combine like terms: 2 + -7 = -5 107 = -5 + 14b Solving 107 = -5 + 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. 107 + -14b = -5 + 14b + -14b Combine like terms: 14b + -14b = 0 107 + -14b = -5 + 0 107 + -14b = -5 Add '-107' to each side of the equation. 107 + -107 + -14b = -5 + -107 Combine like terms: 107 + -107 = 0 0 + -14b = -5 + -107 -14b = -5 + -107 Combine like terms: -5 + -107 = -112 -14b = -112 Divide each side by '-14'. b = 8 Simplifying b = 8
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