Question

(3x + 4y - 3z) - (2x - 6y + 7z)\
options:\
$x + 10y - 10z$\
$x - 10y - 10z$\
$-x + 10y - 10z$\
$-x - 10y - 10z$

Explanation:

Step1: Distribute the negative sign

$(3x + 4y - 3z) - 2x + 6y - 7z$

Step2: Combine like x terms

$3x - 2x + 4y + 6y - 3z - 7z = x + 4y + 6y - 3z - 7z$

Step3: Combine like y terms

$x + (4y + 6y) - 3z - 7z = x + 10y - 3z - 7z$

Step4: Combine like z terms

$x + 10y + (-3z - 7z) = x + 10y - 10z$

Answer:

$x + 10y - 10z$