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Simplifying -4(-5 + -1b) = 3(b + 16) (-5 * -4 + -1b * -4) = 3(b + 16) (20 + 4b) = 3(b + 16) Reorder the terms: 20 + 4b = 3(16 + b) 20 + 4b = (16 * 3 + b * 3) 20 + 4b = (48 + 3b) Solving 20 + 4b = 48 + 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 + 4b + -3b = 48 + 3b + -3b Combine like terms: 4b + -3b = 1b 20 + 1b = 48 + 3b + -3b Combine like terms: 3b + -3b = 0 20 + 1b = 48 + 0 20 + 1b = 48 Add '-20' to each side of the equation. 20 + -20 + 1b = 48 + -20 Combine like terms: 20 + -20 = 0 0 + 1b = 48 + -20 1b = 48 + -20 Combine like terms: 48 + -20 = 28 1b = 28 Divide each side by '1'. b = 28 Simplifying b = 28
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