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Simplifying 8(b + -5) + 4b = 2b + 20 Reorder the terms: 8(-5 + b) + 4b = 2b + 20 (-5 * 8 + b * 8) + 4b = 2b + 20 (-40 + 8b) + 4b = 2b + 20 Combine like terms: 8b + 4b = 12b -40 + 12b = 2b + 20 Reorder the terms: -40 + 12b = 20 + 2b Solving -40 + 12b = 20 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -40 + 12b + -2b = 20 + 2b + -2b Combine like terms: 12b + -2b = 10b -40 + 10b = 20 + 2b + -2b Combine like terms: 2b + -2b = 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 = 60 10b = 60 Divide each side by '10'. b = 6 Simplifying b = 6
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