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Simplifying 177 = 7(5b + 1) + -5 Reorder the terms: 177 = 7(1 + 5b) + -5 177 = (1 * 7 + 5b * 7) + -5 177 = (7 + 35b) + -5 Reorder the terms: 177 = 7 + -5 + 35b Combine like terms: 7 + -5 = 2 177 = 2 + 35b Solving 177 = 2 + 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. 177 + -35b = 2 + 35b + -35b Combine like terms: 35b + -35b = 0 177 + -35b = 2 + 0 177 + -35b = 2 Add '-177' to each side of the equation. 177 + -177 + -35b = 2 + -177 Combine like terms: 177 + -177 = 0 0 + -35b = 2 + -177 -35b = 2 + -177 Combine like terms: 2 + -177 = -175 -35b = -175 Divide each side by '-35'. b = 5 Simplifying b = 5
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