7a+3(-4a-5)=-65

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Solution for 7a+3(-4a-5)=-65 equation:


Simplifying
7a + 3(-4a + -5) = -65

Reorder the terms:
7a + 3(-5 + -4a) = -65
7a + (-5 * 3 + -4a * 3) = -65
7a + (-15 + -12a) = -65

Reorder the terms:
-15 + 7a + -12a = -65

Combine like terms: 7a + -12a = -5a
-15 + -5a = -65

Solving
-15 + -5a = -65

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '15' to each side of the equation.
-15 + 15 + -5a = -65 + 15

Combine like terms: -15 + 15 = 0
0 + -5a = -65 + 15
-5a = -65 + 15

Combine like terms: -65 + 15 = -50
-5a = -50

Divide each side by '-5'.
a = 10

Simplifying
a = 10

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