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Simplifying -32 + -8b = 7(4 + -4b) -32 + -8b = (4 * 7 + -4b * 7) -32 + -8b = (28 + -28b) Solving -32 + -8b = 28 + -28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28b' to each side of the equation. -32 + -8b + 28b = 28 + -28b + 28b Combine like terms: -8b + 28b = 20b -32 + 20b = 28 + -28b + 28b Combine like terms: -28b + 28b = 0 -32 + 20b = 28 + 0 -32 + 20b = 28 Add '32' to each side of the equation. -32 + 32 + 20b = 28 + 32 Combine like terms: -32 + 32 = 0 0 + 20b = 28 + 32 20b = 28 + 32 Combine like terms: 28 + 32 = 60 20b = 60 Divide each side by '20'. b = 3 Simplifying b = 3
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