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Simplifying 7 + -4b = -1(1 + 6b) 7 + -4b = (1 * -1 + 6b * -1) 7 + -4b = (-1 + -6b) Solving 7 + -4b = -1 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 7 + -4b + 6b = -1 + -6b + 6b Combine like terms: -4b + 6b = 2b 7 + 2b = -1 + -6b + 6b Combine like terms: -6b + 6b = 0 7 + 2b = -1 + 0 7 + 2b = -1 Add '-7' to each side of the equation. 7 + -7 + 2b = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 2b = -1 + -7 2b = -1 + -7 Combine like terms: -1 + -7 = -8 2b = -8 Divide each side by '2'. b = -4 Simplifying b = -4
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