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Simplifying -8 + 4(1 + -2b) = 17 + -5b -8 + (1 * 4 + -2b * 4) = 17 + -5b -8 + (4 + -8b) = 17 + -5b Combine like terms: -8 + 4 = -4 -4 + -8b = 17 + -5b Solving -4 + -8b = 17 + -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. -4 + -8b + 5b = 17 + -5b + 5b Combine like terms: -8b + 5b = -3b -4 + -3b = 17 + -5b + 5b Combine like terms: -5b + 5b = 0 -4 + -3b = 17 + 0 -4 + -3b = 17 Add '4' to each side of the equation. -4 + 4 + -3b = 17 + 4 Combine like terms: -4 + 4 = 0 0 + -3b = 17 + 4 -3b = 17 + 4 Combine like terms: 17 + 4 = 21 -3b = 21 Divide each side by '-3'. b = -7 Simplifying b = -7
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