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Simplifying 91 = 7(6b + 7) Reorder the terms: 91 = 7(7 + 6b) 91 = (7 * 7 + 6b * 7) 91 = (49 + 42b) Solving 91 = 49 + 42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42b' to each side of the equation. 91 + -42b = 49 + 42b + -42b Combine like terms: 42b + -42b = 0 91 + -42b = 49 + 0 91 + -42b = 49 Add '-91' to each side of the equation. 91 + -91 + -42b = 49 + -91 Combine like terms: 91 + -91 = 0 0 + -42b = 49 + -91 -42b = 49 + -91 Combine like terms: 49 + -91 = -42 -42b = -42 Divide each side by '-42'. b = 1 Simplifying b = 1
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