Question

what value of ( b ) is a solution to this equation?
( 27 = -5b + 2b )
( b = -9 )
( b = -8 )

Explanation:

Step1: Combine like terms

$25 = (-5b + 2b)$
$25 = -3b$

Step2: Isolate $b$

$b = \frac{25}{-3}$

Wait, correcting the initial equation interpretation (assuming the first term is $25 = -5b + 2b$ was misread, likely the equation is $25 = -5b + 2b$ is incorrect, but based on the options, let's re-express the equation correctly as $25 = -5b + (-2b)$ (typo in image):

Step1: Combine like terms

$25 = -5b - 2b$
$25 = -7b$
No, matching the options $b=-9$ or $b=-8$: let's assume the equation is $27 = -5b + 2b$ (common typo):

Step1: Combine like terms

$27 = -3b$

Step2: Solve for $b$

$b = \frac{27}{-3} = -9$

Alternatively, if equation is $24 = -5b + 2b$:

Step1: Combine like terms

$24 = -3b$

Step2: Solve for $b$

$b = \frac{24}{-3} = -8$

Based on the most plausible correction to match the options, if the original equation is $27 = -5b + 2b$:

Step1: Combine like terms

$27 = (-5 + 2)b$
$27 = -3b$

Step2: Isolate $b$

$b = \frac{27}{-3}$

Answer:

$b = -9$

If the original equation is $24 = -5b + 2b$: