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Simplifying -4(5 + -3b) = 3b + 16 (5 * -4 + -3b * -4) = 3b + 16 (-20 + 12b) = 3b + 16 Reorder the terms: -20 + 12b = 16 + 3b Solving -20 + 12b = 16 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -20 + 12b + -3b = 16 + 3b + -3b Combine like terms: 12b + -3b = 9b -20 + 9b = 16 + 3b + -3b Combine like terms: 3b + -3b = 0 -20 + 9b = 16 + 0 -20 + 9b = 16 Add '20' to each side of the equation. -20 + 20 + 9b = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 9b = 16 + 20 9b = 16 + 20 Combine like terms: 16 + 20 = 36 9b = 36 Divide each side by '9'. b = 4 Simplifying b = 4
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