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Simplifying -8(1 + 4b) = 20 + -4b (1 * -8 + 4b * -8) = 20 + -4b (-8 + -32b) = 20 + -4b Solving -8 + -32b = 20 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -8 + -32b + 4b = 20 + -4b + 4b Combine like terms: -32b + 4b = -28b -8 + -28b = 20 + -4b + 4b Combine like terms: -4b + 4b = 0 -8 + -28b = 20 + 0 -8 + -28b = 20 Add '8' to each side of the equation. -8 + 8 + -28b = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -28b = 20 + 8 -28b = 20 + 8 Combine like terms: 20 + 8 = 28 -28b = 28 Divide each side by '-28'. b = -1 Simplifying b = -1
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