To solve the expression \(( -b + 5 ) + ( 4b - 6 )\), you can follow these steps:
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Distribute and combine like terms: \[ -b + 5 + 4b - 6 \]
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Combine the \(b\) terms: \[ -b + 4b = 3b \]
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Combine the constant terms: \[ 5 - 6 = -1 \]
Putting it all together, you get: \[ 3b - 1 \]
So, \(( -b + 5 ) + ( 4b - 6 ) = 3b - 1\).