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Simplifying -5(7b + 12) + -7(-7b + 11) = 9 + 4b + b + 7 Reorder the terms: -5(12 + 7b) + -7(-7b + 11) = 9 + 4b + b + 7 (12 * -5 + 7b * -5) + -7(-7b + 11) = 9 + 4b + b + 7 (-60 + -35b) + -7(-7b + 11) = 9 + 4b + b + 7 Reorder the terms: -60 + -35b + -7(11 + -7b) = 9 + 4b + b + 7 -60 + -35b + (11 * -7 + -7b * -7) = 9 + 4b + b + 7 -60 + -35b + (-77 + 49b) = 9 + 4b + b + 7 Reorder the terms: -60 + -77 + -35b + 49b = 9 + 4b + b + 7 Combine like terms: -60 + -77 = -137 -137 + -35b + 49b = 9 + 4b + b + 7 Combine like terms: -35b + 49b = 14b -137 + 14b = 9 + 4b + b + 7 Reorder the terms: -137 + 14b = 9 + 7 + 4b + b Combine like terms: 9 + 7 = 16 -137 + 14b = 16 + 4b + b Combine like terms: 4b + b = 5b -137 + 14b = 16 + 5b Solving -137 + 14b = 16 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -137 + 14b + -5b = 16 + 5b + -5b Combine like terms: 14b + -5b = 9b -137 + 9b = 16 + 5b + -5b Combine like terms: 5b + -5b = 0 -137 + 9b = 16 + 0 -137 + 9b = 16 Add '137' to each side of the equation. -137 + 137 + 9b = 16 + 137 Combine like terms: -137 + 137 = 0 0 + 9b = 16 + 137 9b = 16 + 137 Combine like terms: 16 + 137 = 153 9b = 153 Divide each side by '9'. b = 17 Simplifying b = 17
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