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Simplifying -105 = 7(3b + -1) + -7b Reorder the terms: -105 = 7(-1 + 3b) + -7b -105 = (-1 * 7 + 3b * 7) + -7b -105 = (-7 + 21b) + -7b Combine like terms: 21b + -7b = 14b -105 = -7 + 14b Solving -105 = -7 + 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. -105 + -14b = -7 + 14b + -14b Combine like terms: 14b + -14b = 0 -105 + -14b = -7 + 0 -105 + -14b = -7 Add '105' to each side of the equation. -105 + 105 + -14b = -7 + 105 Combine like terms: -105 + 105 = 0 0 + -14b = -7 + 105 -14b = -7 + 105 Combine like terms: -7 + 105 = 98 -14b = 98 Divide each side by '-14'. b = -7 Simplifying b = -7
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