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Simplifying -1 + 7(12b + -5) = 11(5 + 7b) Reorder the terms: -1 + 7(-5 + 12b) = 11(5 + 7b) -1 + (-5 * 7 + 12b * 7) = 11(5 + 7b) -1 + (-35 + 84b) = 11(5 + 7b) Combine like terms: -1 + -35 = -36 -36 + 84b = 11(5 + 7b) -36 + 84b = (5 * 11 + 7b * 11) -36 + 84b = (55 + 77b) Solving -36 + 84b = 55 + 77b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-77b' to each side of the equation. -36 + 84b + -77b = 55 + 77b + -77b Combine like terms: 84b + -77b = 7b -36 + 7b = 55 + 77b + -77b Combine like terms: 77b + -77b = 0 -36 + 7b = 55 + 0 -36 + 7b = 55 Add '36' to each side of the equation. -36 + 36 + 7b = 55 + 36 Combine like terms: -36 + 36 = 0 0 + 7b = 55 + 36 7b = 55 + 36 Combine like terms: 55 + 36 = 91 7b = 91 Divide each side by '7'. b = 13 Simplifying b = 13
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