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Simplifying 8(3b + -5) = -6b + 20 Reorder the terms: 8(-5 + 3b) = -6b + 20 (-5 * 8 + 3b * 8) = -6b + 20 (-40 + 24b) = -6b + 20 Reorder the terms: -40 + 24b = 20 + -6b Solving -40 + 24b = 20 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -40 + 24b + 6b = 20 + -6b + 6b Combine like terms: 24b + 6b = 30b -40 + 30b = 20 + -6b + 6b Combine like terms: -6b + 6b = 0 -40 + 30b = 20 + 0 -40 + 30b = 20 Add '40' to each side of the equation. -40 + 40 + 30b = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 30b = 20 + 40 30b = 20 + 40 Combine like terms: 20 + 40 = 60 30b = 60 Divide each side by '30'. b = 2 Simplifying b = 2
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