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Simplifying -8(2 + 4b) = 8(1 + -7b) (2 * -8 + 4b * -8) = 8(1 + -7b) (-16 + -32b) = 8(1 + -7b) -16 + -32b = (1 * 8 + -7b * 8) -16 + -32b = (8 + -56b) Solving -16 + -32b = 8 + -56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '56b' to each side of the equation. -16 + -32b + 56b = 8 + -56b + 56b Combine like terms: -32b + 56b = 24b -16 + 24b = 8 + -56b + 56b Combine like terms: -56b + 56b = 0 -16 + 24b = 8 + 0 -16 + 24b = 8 Add '16' to each side of the equation. -16 + 16 + 24b = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 24b = 8 + 16 24b = 8 + 16 Combine like terms: 8 + 16 = 24 24b = 24 Divide each side by '24'. b = 1 Simplifying b = 1
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