a-(3a+3)=7

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


Simplifying
a + -1(3a + 3) = 7

Reorder the terms:
a + -1(3 + 3a) = 7
a + (3 * -1 + 3a * -1) = 7
a + (-3 + -3a) = 7

Reorder the terms:
-3 + a + -3a = 7

Combine like terms: a + -3a = -2a
-3 + -2a = 7

Solving
-3 + -2a = 7

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + -2a = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -2a = 7 + 3
-2a = 7 + 3

Combine like terms: 7 + 3 = 10
-2a = 10

Divide each side by '-2'.
a = -5

Simplifying
a = -5

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