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Simplifying 5b + -1(4b + 2) = 14 + -2b + 11 Reorder the terms: 5b + -1(2 + 4b) = 14 + -2b + 11 5b + (2 * -1 + 4b * -1) = 14 + -2b + 11 5b + (-2 + -4b) = 14 + -2b + 11 Reorder the terms: -2 + 5b + -4b = 14 + -2b + 11 Combine like terms: 5b + -4b = 1b -2 + 1b = 14 + -2b + 11 Reorder the terms: -2 + 1b = 14 + 11 + -2b Combine like terms: 14 + 11 = 25 -2 + 1b = 25 + -2b Solving -2 + 1b = 25 + -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. -2 + 1b + 2b = 25 + -2b + 2b Combine like terms: 1b + 2b = 3b -2 + 3b = 25 + -2b + 2b Combine like terms: -2b + 2b = 0 -2 + 3b = 25 + 0 -2 + 3b = 25 Add '2' to each side of the equation. -2 + 2 + 3b = 25 + 2 Combine like terms: -2 + 2 = 0 0 + 3b = 25 + 2 3b = 25 + 2 Combine like terms: 25 + 2 = 27 3b = 27 Divide each side by '3'. b = 9 Simplifying b = 9
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