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Simplifying -1(1 + -1b) = -4b + 19 (1 * -1 + -1b * -1) = -4b + 19 (-1 + 1b) = -4b + 19 Reorder the terms: -1 + 1b = 19 + -4b Solving -1 + 1b = 19 + -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. -1 + 1b + 4b = 19 + -4b + 4b Combine like terms: 1b + 4b = 5b -1 + 5b = 19 + -4b + 4b Combine like terms: -4b + 4b = 0 -1 + 5b = 19 + 0 -1 + 5b = 19 Add '1' to each side of the equation. -1 + 1 + 5b = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 5b = 19 + 1 5b = 19 + 1 Combine like terms: 19 + 1 = 20 5b = 20 Divide each side by '5'. b = 4 Simplifying b = 4
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