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Simplifying 5(3b + -4) = 16 + -3b Reorder the terms: 5(-4 + 3b) = 16 + -3b (-4 * 5 + 3b * 5) = 16 + -3b (-20 + 15b) = 16 + -3b Solving -20 + 15b = 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 + 15b + 3b = 16 + -3b + 3b Combine like terms: 15b + 3b = 18b -20 + 18b = 16 + -3b + 3b Combine like terms: -3b + 3b = 0 -20 + 18b = 16 + 0 -20 + 18b = 16 Add '20' to each side of the equation. -20 + 20 + 18b = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 18b = 16 + 20 18b = 16 + 20 Combine like terms: 16 + 20 = 36 18b = 36 Divide each side by '18'. b = 2 Simplifying b = 2
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