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