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Simplifying -8 + -4(5b + 6) = 8b + 2 Reorder the terms: -8 + -4(6 + 5b) = 8b + 2 -8 + (6 * -4 + 5b * -4) = 8b + 2 -8 + (-24 + -20b) = 8b + 2 Combine like terms: -8 + -24 = -32 -32 + -20b = 8b + 2 Reorder the terms: -32 + -20b = 2 + 8b Solving -32 + -20b = 2 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -32 + -20b + -8b = 2 + 8b + -8b Combine like terms: -20b + -8b = -28b -32 + -28b = 2 + 8b + -8b Combine like terms: 8b + -8b = 0 -32 + -28b = 2 + 0 -32 + -28b = 2 Add '32' to each side of the equation. -32 + 32 + -28b = 2 + 32 Combine like terms: -32 + 32 = 0 0 + -28b = 2 + 32 -28b = 2 + 32 Combine like terms: 2 + 32 = 34 -28b = 34 Divide each side by '-28'. b = -1.214285714 Simplifying b = -1.214285714
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