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Simplifying -1(7b + 1) = 7(11b + -11) + -8b Reorder the terms: -1(1 + 7b) = 7(11b + -11) + -8b (1 * -1 + 7b * -1) = 7(11b + -11) + -8b (-1 + -7b) = 7(11b + -11) + -8b Reorder the terms: -1 + -7b = 7(-11 + 11b) + -8b -1 + -7b = (-11 * 7 + 11b * 7) + -8b -1 + -7b = (-77 + 77b) + -8b Combine like terms: 77b + -8b = 69b -1 + -7b = -77 + 69b Solving -1 + -7b = -77 + 69b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-69b' to each side of the equation. -1 + -7b + -69b = -77 + 69b + -69b Combine like terms: -7b + -69b = -76b -1 + -76b = -77 + 69b + -69b Combine like terms: 69b + -69b = 0 -1 + -76b = -77 + 0 -1 + -76b = -77 Add '1' to each side of the equation. -1 + 1 + -76b = -77 + 1 Combine like terms: -1 + 1 = 0 0 + -76b = -77 + 1 -76b = -77 + 1 Combine like terms: -77 + 1 = -76 -76b = -76 Divide each side by '-76'. b = 1 Simplifying b = 1
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