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Simplifying 8 = 5(29) + b Multiply 5 * 29 8 = 145 + b Solving 8 = 145 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 8 + -1b = 145 + b + -1b Combine like terms: b + -1b = 0 8 + -1b = 145 + 0 8 + -1b = 145 Add '-8' to each side of the equation. 8 + -8 + -1b = 145 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 145 + -8 -1b = 145 + -8 Combine like terms: 145 + -8 = 137 -1b = 137 Divide each side by '-1'. b = -137 Simplifying b = -137
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