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Simplifying 5b + 4 + -1b + -9 + -6b = 3b + -4 + -1b + 19 Reorder the terms: 4 + -9 + 5b + -1b + -6b = 3b + -4 + -1b + 19 Combine like terms: 4 + -9 = -5 -5 + 5b + -1b + -6b = 3b + -4 + -1b + 19 Combine like terms: 5b + -1b = 4b -5 + 4b + -6b = 3b + -4 + -1b + 19 Combine like terms: 4b + -6b = -2b -5 + -2b = 3b + -4 + -1b + 19 Reorder the terms: -5 + -2b = -4 + 19 + 3b + -1b Combine like terms: -4 + 19 = 15 -5 + -2b = 15 + 3b + -1b Combine like terms: 3b + -1b = 2b -5 + -2b = 15 + 2b Solving -5 + -2b = 15 + 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. -5 + -2b + -2b = 15 + 2b + -2b Combine like terms: -2b + -2b = -4b -5 + -4b = 15 + 2b + -2b Combine like terms: 2b + -2b = 0 -5 + -4b = 15 + 0 -5 + -4b = 15 Add '5' to each side of the equation. -5 + 5 + -4b = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -4b = 15 + 5 -4b = 15 + 5 Combine like terms: 15 + 5 = 20 -4b = 20 Divide each side by '-4'. b = -5 Simplifying b = -5
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