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Simplifying -4b + -4(-6b + -8) = 172 Reorder the terms: -4b + -4(-8 + -6b) = 172 -4b + (-8 * -4 + -6b * -4) = 172 -4b + (32 + 24b) = 172 Reorder the terms: 32 + -4b + 24b = 172 Combine like terms: -4b + 24b = 20b 32 + 20b = 172 Solving 32 + 20b = 172 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 20b = 172 + -32 Combine like terms: 32 + -32 = 0 0 + 20b = 172 + -32 20b = 172 + -32 Combine like terms: 172 + -32 = 140 20b = 140 Divide each side by '20'. b = 7 Simplifying b = 7
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