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Simplifying 5b + 3 + -1b + -8 + -6b = 5b + -2 + -1b + 21 Reorder the terms: 3 + -8 + 5b + -1b + -6b = 5b + -2 + -1b + 21 Combine like terms: 3 + -8 = -5 -5 + 5b + -1b + -6b = 5b + -2 + -1b + 21 Combine like terms: 5b + -1b = 4b -5 + 4b + -6b = 5b + -2 + -1b + 21 Combine like terms: 4b + -6b = -2b -5 + -2b = 5b + -2 + -1b + 21 Reorder the terms: -5 + -2b = -2 + 21 + 5b + -1b Combine like terms: -2 + 21 = 19 -5 + -2b = 19 + 5b + -1b Combine like terms: 5b + -1b = 4b -5 + -2b = 19 + 4b Solving -5 + -2b = 19 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -5 + -2b + -4b = 19 + 4b + -4b Combine like terms: -2b + -4b = -6b -5 + -6b = 19 + 4b + -4b Combine like terms: 4b + -4b = 0 -5 + -6b = 19 + 0 -5 + -6b = 19 Add '5' to each side of the equation. -5 + 5 + -6b = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -6b = 19 + 5 -6b = 19 + 5 Combine like terms: 19 + 5 = 24 -6b = 24 Divide each side by '-6'. b = -4 Simplifying b = -4
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