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Simplifying 11 + 5(b + -7) = 2b Reorder the terms: 11 + 5(-7 + b) = 2b 11 + (-7 * 5 + b * 5) = 2b 11 + (-35 + 5b) = 2b Combine like terms: 11 + -35 = -24 -24 + 5b = 2b Solving -24 + 5b = 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -24 + 5b + -2b = 2b + -2b Combine like terms: 5b + -2b = 3b -24 + 3b = 2b + -2b Combine like terms: 2b + -2b = 0 -24 + 3b = 0 Add '24' to each side of the equation. -24 + 24 + 3b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3b = 0 + 24 3b = 0 + 24 Combine like terms: 0 + 24 = 24 3b = 24 Divide each side by '3'. b = 8 Simplifying b = 8
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