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Simplifying 5(4b + -8) + -3 = 5b + 32 Reorder the terms: 5(-8 + 4b) + -3 = 5b + 32 (-8 * 5 + 4b * 5) + -3 = 5b + 32 (-40 + 20b) + -3 = 5b + 32 Reorder the terms: -40 + -3 + 20b = 5b + 32 Combine like terms: -40 + -3 = -43 -43 + 20b = 5b + 32 Reorder the terms: -43 + 20b = 32 + 5b Solving -43 + 20b = 32 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -43 + 20b + -5b = 32 + 5b + -5b Combine like terms: 20b + -5b = 15b -43 + 15b = 32 + 5b + -5b Combine like terms: 5b + -5b = 0 -43 + 15b = 32 + 0 -43 + 15b = 32 Add '43' to each side of the equation. -43 + 43 + 15b = 32 + 43 Combine like terms: -43 + 43 = 0 0 + 15b = 32 + 43 15b = 32 + 43 Combine like terms: 32 + 43 = 75 15b = 75 Divide each side by '15'. b = 5 Simplifying b = 5
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