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Simplifying 6 + -1(b + -6) = 4 + -5b Reorder the terms: 6 + -1(-6 + b) = 4 + -5b 6 + (-6 * -1 + b * -1) = 4 + -5b 6 + (6 + -1b) = 4 + -5b Combine like terms: 6 + 6 = 12 12 + -1b = 4 + -5b Solving 12 + -1b = 4 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 12 + -1b + 5b = 4 + -5b + 5b Combine like terms: -1b + 5b = 4b 12 + 4b = 4 + -5b + 5b Combine like terms: -5b + 5b = 0 12 + 4b = 4 + 0 12 + 4b = 4 Add '-12' to each side of the equation. 12 + -12 + 4b = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 4b = 4 + -12 4b = 4 + -12 Combine like terms: 4 + -12 = -8 4b = -8 Divide each side by '4'. b = -2 Simplifying b = -2
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