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Simplifying -8(1 + 4b) = -8(7b + 4) + 7b (1 * -8 + 4b * -8) = -8(7b + 4) + 7b (-8 + -32b) = -8(7b + 4) + 7b Reorder the terms: -8 + -32b = -8(4 + 7b) + 7b -8 + -32b = (4 * -8 + 7b * -8) + 7b -8 + -32b = (-32 + -56b) + 7b Combine like terms: -56b + 7b = -49b -8 + -32b = -32 + -49b Solving -8 + -32b = -32 + -49b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '49b' to each side of the equation. -8 + -32b + 49b = -32 + -49b + 49b Combine like terms: -32b + 49b = 17b -8 + 17b = -32 + -49b + 49b Combine like terms: -49b + 49b = 0 -8 + 17b = -32 + 0 -8 + 17b = -32 Add '8' to each side of the equation. -8 + 8 + 17b = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 17b = -32 + 8 17b = -32 + 8 Combine like terms: -32 + 8 = -24 17b = -24 Divide each side by '17'. b = -1.411764706 Simplifying b = -1.411764706
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