3a+5=-4a-7

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


Simplifying
3a + 5 = -4a + -7

Reorder the terms:
5 + 3a = -4a + -7

Reorder the terms:
5 + 3a = -7 + -4a

Solving
5 + 3a = -7 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
5 + 3a + 4a = -7 + -4a + 4a

Combine like terms: 3a + 4a = 7a
5 + 7a = -7 + -4a + 4a

Combine like terms: -4a + 4a = 0
5 + 7a = -7 + 0
5 + 7a = -7

Add '-5' to each side of the equation.
5 + -5 + 7a = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 7a = -7 + -5
7a = -7 + -5

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

Divide each side by '7'.
a = -1.714285714

Simplifying
a = -1.714285714

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