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Simplifying -19 + -2b = -5(1 + -4b) + -8b -19 + -2b = (1 * -5 + -4b * -5) + -8b -19 + -2b = (-5 + 20b) + -8b Combine like terms: 20b + -8b = 12b -19 + -2b = -5 + 12b Solving -19 + -2b = -5 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -19 + -2b + -12b = -5 + 12b + -12b Combine like terms: -2b + -12b = -14b -19 + -14b = -5 + 12b + -12b Combine like terms: 12b + -12b = 0 -19 + -14b = -5 + 0 -19 + -14b = -5 Add '19' to each side of the equation. -19 + 19 + -14b = -5 + 19 Combine like terms: -19 + 19 = 0 0 + -14b = -5 + 19 -14b = -5 + 19 Combine like terms: -5 + 19 = 14 -14b = 14 Divide each side by '-14'. b = -1 Simplifying b = -1
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