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Simplifying 4b + 2 + -1b + -6 + -5b = 3b + -3 + -1b + 19 Reorder the terms: 2 + -6 + 4b + -1b + -5b = 3b + -3 + -1b + 19 Combine like terms: 2 + -6 = -4 -4 + 4b + -1b + -5b = 3b + -3 + -1b + 19 Combine like terms: 4b + -1b = 3b -4 + 3b + -5b = 3b + -3 + -1b + 19 Combine like terms: 3b + -5b = -2b -4 + -2b = 3b + -3 + -1b + 19 Reorder the terms: -4 + -2b = -3 + 19 + 3b + -1b Combine like terms: -3 + 19 = 16 -4 + -2b = 16 + 3b + -1b Combine like terms: 3b + -1b = 2b -4 + -2b = 16 + 2b Solving -4 + -2b = 16 + 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. -4 + -2b + -2b = 16 + 2b + -2b Combine like terms: -2b + -2b = -4b -4 + -4b = 16 + 2b + -2b Combine like terms: 2b + -2b = 0 -4 + -4b = 16 + 0 -4 + -4b = 16 Add '4' to each side of the equation. -4 + 4 + -4b = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -4b = 16 + 4 -4b = 16 + 4 Combine like terms: 16 + 4 = 20 -4b = 20 Divide each side by '-4'. b = -5 Simplifying b = -5
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