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Simplifying 3b + 5(-8 + 3b) = 8b + -20 3b + (-8 * 5 + 3b * 5) = 8b + -20 3b + (-40 + 15b) = 8b + -20 Reorder the terms: -40 + 3b + 15b = 8b + -20 Combine like terms: 3b + 15b = 18b -40 + 18b = 8b + -20 Reorder the terms: -40 + 18b = -20 + 8b Solving -40 + 18b = -20 + 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. -40 + 18b + -8b = -20 + 8b + -8b Combine like terms: 18b + -8b = 10b -40 + 10b = -20 + 8b + -8b Combine like terms: 8b + -8b = 0 -40 + 10b = -20 + 0 -40 + 10b = -20 Add '40' to each side of the equation. -40 + 40 + 10b = -20 + 40 Combine like terms: -40 + 40 = 0 0 + 10b = -20 + 40 10b = -20 + 40 Combine like terms: -20 + 40 = 20 10b = 20 Divide each side by '10'. b = 2 Simplifying b = 2
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