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Simplifying 17 + 6(7b + -8) = 172 Reorder the terms: 17 + 6(-8 + 7b) = 172 17 + (-8 * 6 + 7b * 6) = 172 17 + (-48 + 42b) = 172 Combine like terms: 17 + -48 = -31 -31 + 42b = 172 Solving -31 + 42b = 172 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 42b = 172 + 31 Combine like terms: -31 + 31 = 0 0 + 42b = 172 + 31 42b = 172 + 31 Combine like terms: 172 + 31 = 203 42b = 203 Divide each side by '42'. b = 4.833333333 Simplifying b = 4.833333333
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