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Simplifying 2b + 5 + -1b + -7 + -6b = 3b + -3 + -1b + 22 Reorder the terms: 5 + -7 + 2b + -1b + -6b = 3b + -3 + -1b + 22 Combine like terms: 5 + -7 = -2 -2 + 2b + -1b + -6b = 3b + -3 + -1b + 22 Combine like terms: 2b + -1b = 1b -2 + 1b + -6b = 3b + -3 + -1b + 22 Combine like terms: 1b + -6b = -5b -2 + -5b = 3b + -3 + -1b + 22 Reorder the terms: -2 + -5b = -3 + 22 + 3b + -1b Combine like terms: -3 + 22 = 19 -2 + -5b = 19 + 3b + -1b Combine like terms: 3b + -1b = 2b -2 + -5b = 19 + 2b Solving -2 + -5b = 19 + 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. -2 + -5b + -2b = 19 + 2b + -2b Combine like terms: -5b + -2b = -7b -2 + -7b = 19 + 2b + -2b Combine like terms: 2b + -2b = 0 -2 + -7b = 19 + 0 -2 + -7b = 19 Add '2' to each side of the equation. -2 + 2 + -7b = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -7b = 19 + 2 -7b = 19 + 2 Combine like terms: 19 + 2 = 21 -7b = 21 Divide each side by '-7'. b = -3 Simplifying b = -3
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