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Simplifying -2[1 + 4b] = -22 + -3b [1 * -2 + 4b * -2] = -22 + -3b [-2 + -8b] = -22 + -3b Solving -2 + -8b = -22 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -2 + -8b + 3b = -22 + -3b + 3b Combine like terms: -8b + 3b = -5b -2 + -5b = -22 + -3b + 3b Combine like terms: -3b + 3b = 0 -2 + -5b = -22 + 0 -2 + -5b = -22 Add '2' to each side of the equation. -2 + 2 + -5b = -22 + 2 Combine like terms: -2 + 2 = 0 0 + -5b = -22 + 2 -5b = -22 + 2 Combine like terms: -22 + 2 = -20 -5b = -20 Divide each side by '-5'. b = 4 Simplifying b = 4
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