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Simplifying -4(1 + 8b) + -8b = 3b + 39 (1 * -4 + 8b * -4) + -8b = 3b + 39 (-4 + -32b) + -8b = 3b + 39 Combine like terms: -32b + -8b = -40b -4 + -40b = 3b + 39 Reorder the terms: -4 + -40b = 39 + 3b Solving -4 + -40b = 39 + 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. -4 + -40b + -3b = 39 + 3b + -3b Combine like terms: -40b + -3b = -43b -4 + -43b = 39 + 3b + -3b Combine like terms: 3b + -3b = 0 -4 + -43b = 39 + 0 -4 + -43b = 39 Add '4' to each side of the equation. -4 + 4 + -43b = 39 + 4 Combine like terms: -4 + 4 = 0 0 + -43b = 39 + 4 -43b = 39 + 4 Combine like terms: 39 + 4 = 43 -43b = 43 Divide each side by '-43'. b = -1 Simplifying b = -1
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