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Simplifying 5b + 3 + -1b + -6 + -8b = 3b + -4 + -1b + 19 Reorder the terms: 3 + -6 + 5b + -1b + -8b = 3b + -4 + -1b + 19 Combine like terms: 3 + -6 = -3 -3 + 5b + -1b + -8b = 3b + -4 + -1b + 19 Combine like terms: 5b + -1b = 4b -3 + 4b + -8b = 3b + -4 + -1b + 19 Combine like terms: 4b + -8b = -4b -3 + -4b = 3b + -4 + -1b + 19 Reorder the terms: -3 + -4b = -4 + 19 + 3b + -1b Combine like terms: -4 + 19 = 15 -3 + -4b = 15 + 3b + -1b Combine like terms: 3b + -1b = 2b -3 + -4b = 15 + 2b Solving -3 + -4b = 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. -3 + -4b + -2b = 15 + 2b + -2b Combine like terms: -4b + -2b = -6b -3 + -6b = 15 + 2b + -2b Combine like terms: 2b + -2b = 0 -3 + -6b = 15 + 0 -3 + -6b = 15 Add '3' to each side of the equation. -3 + 3 + -6b = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -6b = 15 + 3 -6b = 15 + 3 Combine like terms: 15 + 3 = 18 -6b = 18 Divide each side by '-6'. b = -3 Simplifying b = -3
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