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Simplifying 105 = -5(4b + 7) Reorder the terms: 105 = -5(7 + 4b) 105 = (7 * -5 + 4b * -5) 105 = (-35 + -20b) Solving 105 = -35 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. 105 + 20b = -35 + -20b + 20b Combine like terms: -20b + 20b = 0 105 + 20b = -35 + 0 105 + 20b = -35 Add '-105' to each side of the equation. 105 + -105 + 20b = -35 + -105 Combine like terms: 105 + -105 = 0 0 + 20b = -35 + -105 20b = -35 + -105 Combine like terms: -35 + -105 = -140 20b = -140 Divide each side by '20'. b = -7 Simplifying b = -7
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