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Simplifying -5(3 + b) = 5b + -5(6b + 3) (3 * -5 + b * -5) = 5b + -5(6b + 3) (-15 + -5b) = 5b + -5(6b + 3) Reorder the terms: -15 + -5b = 5b + -5(3 + 6b) -15 + -5b = 5b + (3 * -5 + 6b * -5) -15 + -5b = 5b + (-15 + -30b) Reorder the terms: -15 + -5b = -15 + 5b + -30b Combine like terms: 5b + -30b = -25b -15 + -5b = -15 + -25b Add '15' to each side of the equation. -15 + 15 + -5b = -15 + 15 + -25b Combine like terms: -15 + 15 = 0 0 + -5b = -15 + 15 + -25b -5b = -15 + 15 + -25b Combine like terms: -15 + 15 = 0 -5b = 0 + -25b -5b = -25b Solving -5b = -25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25b' to each side of the equation. -5b + 25b = -25b + 25b Combine like terms: -5b + 25b = 20b 20b = -25b + 25b Combine like terms: -25b + 25b = 0 20b = 0 Divide each side by '20'. b = 0.0 Simplifying b = 0.0
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