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Simplifying 6 + 5(8 + 6b) = -5b + 11 6 + (8 * 5 + 6b * 5) = -5b + 11 6 + (40 + 30b) = -5b + 11 Combine like terms: 6 + 40 = 46 46 + 30b = -5b + 11 Reorder the terms: 46 + 30b = 11 + -5b Solving 46 + 30b = 11 + -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. 46 + 30b + 5b = 11 + -5b + 5b Combine like terms: 30b + 5b = 35b 46 + 35b = 11 + -5b + 5b Combine like terms: -5b + 5b = 0 46 + 35b = 11 + 0 46 + 35b = 11 Add '-46' to each side of the equation. 46 + -46 + 35b = 11 + -46 Combine like terms: 46 + -46 = 0 0 + 35b = 11 + -46 35b = 11 + -46 Combine like terms: 11 + -46 = -35 35b = -35 Divide each side by '35'. b = -1 Simplifying b = -1
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