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Simplifying 7b + -5(b + -6) = -4b + 6 Reorder the terms: 7b + -5(-6 + b) = -4b + 6 7b + (-6 * -5 + b * -5) = -4b + 6 7b + (30 + -5b) = -4b + 6 Reorder the terms: 30 + 7b + -5b = -4b + 6 Combine like terms: 7b + -5b = 2b 30 + 2b = -4b + 6 Reorder the terms: 30 + 2b = 6 + -4b Solving 30 + 2b = 6 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 30 + 2b + 4b = 6 + -4b + 4b Combine like terms: 2b + 4b = 6b 30 + 6b = 6 + -4b + 4b Combine like terms: -4b + 4b = 0 30 + 6b = 6 + 0 30 + 6b = 6 Add '-30' to each side of the equation. 30 + -30 + 6b = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 6b = 6 + -30 6b = 6 + -30 Combine like terms: 6 + -30 = -24 6b = -24 Divide each side by '6'. b = -4 Simplifying b = -4
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