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Simplifying -3 + -8(-1 + -4b) = 7(-7 + 2b) -3 + (-1 * -8 + -4b * -8) = 7(-7 + 2b) -3 + (8 + 32b) = 7(-7 + 2b) Combine like terms: -3 + 8 = 5 5 + 32b = 7(-7 + 2b) 5 + 32b = (-7 * 7 + 2b * 7) 5 + 32b = (-49 + 14b) Solving 5 + 32b = -49 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 5 + 32b + -14b = -49 + 14b + -14b Combine like terms: 32b + -14b = 18b 5 + 18b = -49 + 14b + -14b Combine like terms: 14b + -14b = 0 5 + 18b = -49 + 0 5 + 18b = -49 Add '-5' to each side of the equation. 5 + -5 + 18b = -49 + -5 Combine like terms: 5 + -5 = 0 0 + 18b = -49 + -5 18b = -49 + -5 Combine like terms: -49 + -5 = -54 18b = -54 Divide each side by '18'. b = -3 Simplifying b = -3
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