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Simplifying 7 + -5(-7b + -1) = -8(3 + -4b) Reorder the terms: 7 + -5(-1 + -7b) = -8(3 + -4b) 7 + (-1 * -5 + -7b * -5) = -8(3 + -4b) 7 + (5 + 35b) = -8(3 + -4b) Combine like terms: 7 + 5 = 12 12 + 35b = -8(3 + -4b) 12 + 35b = (3 * -8 + -4b * -8) 12 + 35b = (-24 + 32b) Solving 12 + 35b = -24 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 12 + 35b + -32b = -24 + 32b + -32b Combine like terms: 35b + -32b = 3b 12 + 3b = -24 + 32b + -32b Combine like terms: 32b + -32b = 0 12 + 3b = -24 + 0 12 + 3b = -24 Add '-12' to each side of the equation. 12 + -12 + 3b = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 3b = -24 + -12 3b = -24 + -12 Combine like terms: -24 + -12 = -36 3b = -36 Divide each side by '3'. b = -12 Simplifying b = -12
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