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Simplifying 4b + -6(b + -6) = -1(8 + 6b) Reorder the terms: 4b + -6(-6 + b) = -1(8 + 6b) 4b + (-6 * -6 + b * -6) = -1(8 + 6b) 4b + (36 + -6b) = -1(8 + 6b) Reorder the terms: 36 + 4b + -6b = -1(8 + 6b) Combine like terms: 4b + -6b = -2b 36 + -2b = -1(8 + 6b) 36 + -2b = (8 * -1 + 6b * -1) 36 + -2b = (-8 + -6b) Solving 36 + -2b = -8 + -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. 36 + -2b + 6b = -8 + -6b + 6b Combine like terms: -2b + 6b = 4b 36 + 4b = -8 + -6b + 6b Combine like terms: -6b + 6b = 0 36 + 4b = -8 + 0 36 + 4b = -8 Add '-36' to each side of the equation. 36 + -36 + 4b = -8 + -36 Combine like terms: 36 + -36 = 0 0 + 4b = -8 + -36 4b = -8 + -36 Combine like terms: -8 + -36 = -44 4b = -44 Divide each side by '4'. b = -11 Simplifying b = -11
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