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Simplifying -165 = 3(1 + -7b) -165 = (1 * 3 + -7b * 3) -165 = (3 + -21b) Solving -165 = 3 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. -165 + 21b = 3 + -21b + 21b Combine like terms: -21b + 21b = 0 -165 + 21b = 3 + 0 -165 + 21b = 3 Add '165' to each side of the equation. -165 + 165 + 21b = 3 + 165 Combine like terms: -165 + 165 = 0 0 + 21b = 3 + 165 21b = 3 + 165 Combine like terms: 3 + 165 = 168 21b = 168 Divide each side by '21'. b = 8 Simplifying b = 8
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