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Simplifying -108 = 6(b + -7) + 5b Reorder the terms: -108 = 6(-7 + b) + 5b -108 = (-7 * 6 + b * 6) + 5b -108 = (-42 + 6b) + 5b Combine like terms: 6b + 5b = 11b -108 = -42 + 11b Solving -108 = -42 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. -108 + -11b = -42 + 11b + -11b Combine like terms: 11b + -11b = 0 -108 + -11b = -42 + 0 -108 + -11b = -42 Add '108' to each side of the equation. -108 + 108 + -11b = -42 + 108 Combine like terms: -108 + 108 = 0 0 + -11b = -42 + 108 -11b = -42 + 108 Combine like terms: -42 + 108 = 66 -11b = 66 Divide each side by '-11'. b = -6 Simplifying b = -6
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