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Simplifying 77 = 7(1 + b) 77 = (1 * 7 + b * 7) 77 = (7 + 7b) Solving 77 = 7 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 77 + -7b = 7 + 7b + -7b Combine like terms: 7b + -7b = 0 77 + -7b = 7 + 0 77 + -7b = 7 Add '-77' to each side of the equation. 77 + -77 + -7b = 7 + -77 Combine like terms: 77 + -77 = 0 0 + -7b = 7 + -77 -7b = 7 + -77 Combine like terms: 7 + -77 = -70 -7b = -70 Divide each side by '-7'. b = 10 Simplifying b = 10
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