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Simplifying b + -15 + 5b = 18(-19b + 15) + -15(b + 19) Reorder the terms: -15 + b + 5b = 18(-19b + 15) + -15(b + 19) Combine like terms: b + 5b = 6b -15 + 6b = 18(-19b + 15) + -15(b + 19) Reorder the terms: -15 + 6b = 18(15 + -19b) + -15(b + 19) -15 + 6b = (15 * 18 + -19b * 18) + -15(b + 19) -15 + 6b = (270 + -342b) + -15(b + 19) Reorder the terms: -15 + 6b = 270 + -342b + -15(19 + b) -15 + 6b = 270 + -342b + (19 * -15 + b * -15) -15 + 6b = 270 + -342b + (-285 + -15b) Reorder the terms: -15 + 6b = 270 + -285 + -342b + -15b Combine like terms: 270 + -285 = -15 -15 + 6b = -15 + -342b + -15b Combine like terms: -342b + -15b = -357b -15 + 6b = -15 + -357b Add '15' to each side of the equation. -15 + 15 + 6b = -15 + 15 + -357b Combine like terms: -15 + 15 = 0 0 + 6b = -15 + 15 + -357b 6b = -15 + 15 + -357b Combine like terms: -15 + 15 = 0 6b = 0 + -357b 6b = -357b Solving 6b = -357b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '357b' to each side of the equation. 6b + 357b = -357b + 357b Combine like terms: 6b + 357b = 363b 363b = -357b + 357b Combine like terms: -357b + 357b = 0 363b = 0 Divide each side by '363'. b = 0 Simplifying b = 0
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