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Simplifying -1(5b + -3) = 19 + -1b Reorder the terms: -1(-3 + 5b) = 19 + -1b (-3 * -1 + 5b * -1) = 19 + -1b (3 + -5b) = 19 + -1b Solving 3 + -5b = 19 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 3 + -5b + b = 19 + -1b + b Combine like terms: -5b + b = -4b 3 + -4b = 19 + -1b + b Combine like terms: -1b + b = 0 3 + -4b = 19 + 0 3 + -4b = 19 Add '-3' to each side of the equation. 3 + -3 + -4b = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -4b = 19 + -3 -4b = 19 + -3 Combine like terms: 19 + -3 = 16 -4b = 16 Divide each side by '-4'. b = -4 Simplifying b = -4
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