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Simplifying -8(4 + -4b) + 3(6 + 7b) = 39 (4 * -8 + -4b * -8) + 3(6 + 7b) = 39 (-32 + 32b) + 3(6 + 7b) = 39 -32 + 32b + (6 * 3 + 7b * 3) = 39 -32 + 32b + (18 + 21b) = 39 Reorder the terms: -32 + 18 + 32b + 21b = 39 Combine like terms: -32 + 18 = -14 -14 + 32b + 21b = 39 Combine like terms: 32b + 21b = 53b -14 + 53b = 39 Solving -14 + 53b = 39 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 53b = 39 + 14 Combine like terms: -14 + 14 = 0 0 + 53b = 39 + 14 53b = 39 + 14 Combine like terms: 39 + 14 = 53 53b = 53 Divide each side by '53'. b = 1 Simplifying b = 1
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