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Simplifying -2(1 + -1b) = 19 + 5b (1 * -2 + -1b * -2) = 19 + 5b (-2 + 2b) = 19 + 5b Solving -2 + 2b = 19 + 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. -2 + 2b + -5b = 19 + 5b + -5b Combine like terms: 2b + -5b = -3b -2 + -3b = 19 + 5b + -5b Combine like terms: 5b + -5b = 0 -2 + -3b = 19 + 0 -2 + -3b = 19 Add '2' to each side of the equation. -2 + 2 + -3b = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = 19 + 2 -3b = 19 + 2 Combine like terms: 19 + 2 = 21 -3b = 21 Divide each side by '-3'. b = -7 Simplifying b = -7
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