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Simplifying -11 + 5b + -12 + -8b = 4b + -1b + 5 + 8 Reorder the terms: -11 + -12 + 5b + -8b = 4b + -1b + 5 + 8 Combine like terms: -11 + -12 = -23 -23 + 5b + -8b = 4b + -1b + 5 + 8 Combine like terms: 5b + -8b = -3b -23 + -3b = 4b + -1b + 5 + 8 Reorder the terms: -23 + -3b = 5 + 8 + 4b + -1b Combine like terms: 5 + 8 = 13 -23 + -3b = 13 + 4b + -1b Combine like terms: 4b + -1b = 3b -23 + -3b = 13 + 3b Solving -23 + -3b = 13 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -23 + -3b + -3b = 13 + 3b + -3b Combine like terms: -3b + -3b = -6b -23 + -6b = 13 + 3b + -3b Combine like terms: 3b + -3b = 0 -23 + -6b = 13 + 0 -23 + -6b = 13 Add '23' to each side of the equation. -23 + 23 + -6b = 13 + 23 Combine like terms: -23 + 23 = 0 0 + -6b = 13 + 23 -6b = 13 + 23 Combine like terms: 13 + 23 = 36 -6b = 36 Divide each side by '-6'. b = -6 Simplifying b = -6
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