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Simplifying -8(4b + -4) = 4 + -4b Reorder the terms: -8(-4 + 4b) = 4 + -4b (-4 * -8 + 4b * -8) = 4 + -4b (32 + -32b) = 4 + -4b Solving 32 + -32b = 4 + -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. 32 + -32b + 4b = 4 + -4b + 4b Combine like terms: -32b + 4b = -28b 32 + -28b = 4 + -4b + 4b Combine like terms: -4b + 4b = 0 32 + -28b = 4 + 0 32 + -28b = 4 Add '-32' to each side of the equation. 32 + -32 + -28b = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -28b = 4 + -32 -28b = 4 + -32 Combine like terms: 4 + -32 = -28 -28b = -28 Divide each side by '-28'. b = 1 Simplifying b = 1
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