7(a+4)+8=4a-4

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Solution for 7(a+4)+8=4a-4 equation:


Simplifying
7(a + 4) + 8 = 4a + -4

Reorder the terms:
7(4 + a) + 8 = 4a + -4
(4 * 7 + a * 7) + 8 = 4a + -4
(28 + 7a) + 8 = 4a + -4

Reorder the terms:
28 + 8 + 7a = 4a + -4

Combine like terms: 28 + 8 = 36
36 + 7a = 4a + -4

Reorder the terms:
36 + 7a = -4 + 4a

Solving
36 + 7a = -4 + 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.
36 + 7a + -4a = -4 + 4a + -4a

Combine like terms: 7a + -4a = 3a
36 + 3a = -4 + 4a + -4a

Combine like terms: 4a + -4a = 0
36 + 3a = -4 + 0
36 + 3a = -4

Add '-36' to each side of the equation.
36 + -36 + 3a = -4 + -36

Combine like terms: 36 + -36 = 0
0 + 3a = -4 + -36
3a = -4 + -36

Combine like terms: -4 + -36 = -40
3a = -40

Divide each side by '3'.
a = -13.33333333

Simplifying
a = -13.33333333

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