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Simplifying -2(8b + 5) = -40 + -6b Reorder the terms: -2(5 + 8b) = -40 + -6b (5 * -2 + 8b * -2) = -40 + -6b (-10 + -16b) = -40 + -6b Solving -10 + -16b = -40 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -10 + -16b + 6b = -40 + -6b + 6b Combine like terms: -16b + 6b = -10b -10 + -10b = -40 + -6b + 6b Combine like terms: -6b + 6b = 0 -10 + -10b = -40 + 0 -10 + -10b = -40 Add '10' to each side of the equation. -10 + 10 + -10b = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -10b = -40 + 10 -10b = -40 + 10 Combine like terms: -40 + 10 = -30 -10b = -30 Divide each side by '-10'. b = 3 Simplifying b = 3
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