To simplify the expression \((2x+3y+10) - (3x+4y-18)\), let's first rewrite it clearly:
\[ (2x + 3y + 10) - (3x + 4y - 18) \]
This can be expanded by distributing the negative sign across the terms in the second parentheses:
\[ 2x + 3y + 10 - 3x - 4y + 18 \]
Now, let's analyze the options presented:
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a: \(2x + 3y + 10 - 3x + 4y + 18\) (Incorrect distribution of the negative sign, \(+4y\) should be \(-4y\))
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b: \(2x + 3y + 10 - 3x - 4y + 18\) (Correct distribution of the negative sign)
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c: \(2x + 3y + 10 + 3x - 4y + 18\) (Incorrect distribution of the negative sign, \(+3x\) should be \(-3x\))
Thus, the correct step looks like b:
\[ 2x + 3y + 10 - 3x - 4y + 18 \]