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Simplifying -4(20 + 5b) = -1(24b + -40) (20 * -4 + 5b * -4) = -1(24b + -40) (-80 + -20b) = -1(24b + -40) Reorder the terms: -80 + -20b = -1(-40 + 24b) -80 + -20b = (-40 * -1 + 24b * -1) -80 + -20b = (40 + -24b) Solving -80 + -20b = 40 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. -80 + -20b + 24b = 40 + -24b + 24b Combine like terms: -20b + 24b = 4b -80 + 4b = 40 + -24b + 24b Combine like terms: -24b + 24b = 0 -80 + 4b = 40 + 0 -80 + 4b = 40 Add '80' to each side of the equation. -80 + 80 + 4b = 40 + 80 Combine like terms: -80 + 80 = 0 0 + 4b = 40 + 80 4b = 40 + 80 Combine like terms: 40 + 80 = 120 4b = 120 Divide each side by '4'. b = 30 Simplifying b = 30
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