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Simplifying 165 = 5(1 + 4b) 165 = (1 * 5 + 4b * 5) 165 = (5 + 20b) Solving 165 = 5 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 165 + -20b = 5 + 20b + -20b Combine like terms: 20b + -20b = 0 165 + -20b = 5 + 0 165 + -20b = 5 Add '-165' to each side of the equation. 165 + -165 + -20b = 5 + -165 Combine like terms: 165 + -165 = 0 0 + -20b = 5 + -165 -20b = 5 + -165 Combine like terms: 5 + -165 = -160 -20b = -160 Divide each side by '-20'. b = 8 Simplifying b = 8
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