a=-2a+7-3(-9-4a)

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Solution for a=-2a+7-3(-9-4a) equation:


Simplifying
a = -2a + 7 + -3(-9 + -4a)
a = -2a + 7 + (-9 * -3 + -4a * -3)
a = -2a + 7 + (27 + 12a)

Reorder the terms:
a = 7 + 27 + -2a + 12a

Combine like terms: 7 + 27 = 34
a = 34 + -2a + 12a

Combine like terms: -2a + 12a = 10a
a = 34 + 10a

Solving
a = 34 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
a + -10a = 34 + 10a + -10a

Combine like terms: a + -10a = -9a
-9a = 34 + 10a + -10a

Combine like terms: 10a + -10a = 0
-9a = 34 + 0
-9a = 34

Divide each side by '-9'.
a = -3.777777778

Simplifying
a = -3.777777778

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