4a+12=2a-24+49-28

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Solution for 4a+12=2a-24+49-28 equation:


Simplifying
4a + 12 = 2a + -24 + 49 + -28

Reorder the terms:
12 + 4a = 2a + -24 + 49 + -28

Reorder the terms:
12 + 4a = -24 + 49 + -28 + 2a

Combine like terms: -24 + 49 = 25
12 + 4a = 25 + -28 + 2a

Combine like terms: 25 + -28 = -3
12 + 4a = -3 + 2a

Solving
12 + 4a = -3 + 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.
12 + 4a + -2a = -3 + 2a + -2a

Combine like terms: 4a + -2a = 2a
12 + 2a = -3 + 2a + -2a

Combine like terms: 2a + -2a = 0
12 + 2a = -3 + 0
12 + 2a = -3

Add '-12' to each side of the equation.
12 + -12 + 2a = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 2a = -3 + -12
2a = -3 + -12

Combine like terms: -3 + -12 = -15
2a = -15

Divide each side by '2'.
a = -7.5

Simplifying
a = -7.5

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