4a-4=5(a+1)+10a+4

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Solution for 4a-4=5(a+1)+10a+4 equation:


Simplifying
4a + -4 = 5(a + 1) + 10a + 4

Reorder the terms:
-4 + 4a = 5(a + 1) + 10a + 4

Reorder the terms:
-4 + 4a = 5(1 + a) + 10a + 4
-4 + 4a = (1 * 5 + a * 5) + 10a + 4
-4 + 4a = (5 + 5a) + 10a + 4

Reorder the terms:
-4 + 4a = 5 + 4 + 5a + 10a

Combine like terms: 5 + 4 = 9
-4 + 4a = 9 + 5a + 10a

Combine like terms: 5a + 10a = 15a
-4 + 4a = 9 + 15a

Solving
-4 + 4a = 9 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
-4 + 4a + -15a = 9 + 15a + -15a

Combine like terms: 4a + -15a = -11a
-4 + -11a = 9 + 15a + -15a

Combine like terms: 15a + -15a = 0
-4 + -11a = 9 + 0
-4 + -11a = 9

Add '4' to each side of the equation.
-4 + 4 + -11a = 9 + 4

Combine like terms: -4 + 4 = 0
0 + -11a = 9 + 4
-11a = 9 + 4

Combine like terms: 9 + 4 = 13
-11a = 13

Divide each side by '-11'.
a = -1.181818182

Simplifying
a = -1.181818182

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