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Simplifying 21 + 2b = -8 + -3(-1 + -5b) 21 + 2b = -8 + (-1 * -3 + -5b * -3) 21 + 2b = -8 + (3 + 15b) Combine like terms: -8 + 3 = -5 21 + 2b = -5 + 15b Solving 21 + 2b = -5 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 21 + 2b + -15b = -5 + 15b + -15b Combine like terms: 2b + -15b = -13b 21 + -13b = -5 + 15b + -15b Combine like terms: 15b + -15b = 0 21 + -13b = -5 + 0 21 + -13b = -5 Add '-21' to each side of the equation. 21 + -21 + -13b = -5 + -21 Combine like terms: 21 + -21 = 0 0 + -13b = -5 + -21 -13b = -5 + -21 Combine like terms: -5 + -21 = -26 -13b = -26 Divide each side by '-13'. b = 2 Simplifying b = 2
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