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Simplifying 105 = -5(8b + 3) Reorder the terms: 105 = -5(3 + 8b) 105 = (3 * -5 + 8b * -5) 105 = (-15 + -40b) Solving 105 = -15 + -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 105 + 40b = -15 + -40b + 40b Combine like terms: -40b + 40b = 0 105 + 40b = -15 + 0 105 + 40b = -15 Add '-105' to each side of the equation. 105 + -105 + 40b = -15 + -105 Combine like terms: 105 + -105 = 0 0 + 40b = -15 + -105 40b = -15 + -105 Combine like terms: -15 + -105 = -120 40b = -120 Divide each side by '40'. b = -3 Simplifying b = -3
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