7a+3+2(-a-4)=-16+2a

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Solution for 7a+3+2(-a-4)=-16+2a equation:


Simplifying
7a + 3 + 2(-1a + -4) = -16 + 2a

Reorder the terms:
7a + 3 + 2(-4 + -1a) = -16 + 2a
7a + 3 + (-4 * 2 + -1a * 2) = -16 + 2a
7a + 3 + (-8 + -2a) = -16 + 2a

Reorder the terms:
3 + -8 + 7a + -2a = -16 + 2a

Combine like terms: 3 + -8 = -5
-5 + 7a + -2a = -16 + 2a

Combine like terms: 7a + -2a = 5a
-5 + 5a = -16 + 2a

Solving
-5 + 5a = -16 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-5 + 5a + -2a = -16 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-5 + 3a = -16 + 2a + -2a

Combine like terms: 2a + -2a = 0
-5 + 3a = -16 + 0
-5 + 3a = -16

Add '5' to each side of the equation.
-5 + 5 + 3a = -16 + 5

Combine like terms: -5 + 5 = 0
0 + 3a = -16 + 5
3a = -16 + 5

Combine like terms: -16 + 5 = -11
3a = -11

Divide each side by '3'.
a = -3.666666667

Simplifying
a = -3.666666667

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