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Simplifying -3(2b + 7) = -8b + -5 Reorder the terms: -3(7 + 2b) = -8b + -5 (7 * -3 + 2b * -3) = -8b + -5 (-21 + -6b) = -8b + -5 Reorder the terms: -21 + -6b = -5 + -8b Solving -21 + -6b = -5 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -21 + -6b + 8b = -5 + -8b + 8b Combine like terms: -6b + 8b = 2b -21 + 2b = -5 + -8b + 8b Combine like terms: -8b + 8b = 0 -21 + 2b = -5 + 0 -21 + 2b = -5 Add '21' to each side of the equation. -21 + 21 + 2b = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 2b = -5 + 21 2b = -5 + 21 Combine like terms: -5 + 21 = 16 2b = 16 Divide each side by '2'. b = 8 Simplifying b = 8
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