3a-3=4(a+1)+9a+4

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Solution for 3a-3=4(a+1)+9a+4 equation:


Simplifying
3a + -3 = 4(a + 1) + 9a + 4

Reorder the terms:
-3 + 3a = 4(a + 1) + 9a + 4

Reorder the terms:
-3 + 3a = 4(1 + a) + 9a + 4
-3 + 3a = (1 * 4 + a * 4) + 9a + 4
-3 + 3a = (4 + 4a) + 9a + 4

Reorder the terms:
-3 + 3a = 4 + 4 + 4a + 9a

Combine like terms: 4 + 4 = 8
-3 + 3a = 8 + 4a + 9a

Combine like terms: 4a + 9a = 13a
-3 + 3a = 8 + 13a

Solving
-3 + 3a = 8 + 13a

Solving for variable 'a'.

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

Add '-13a' to each side of the equation.
-3 + 3a + -13a = 8 + 13a + -13a

Combine like terms: 3a + -13a = -10a
-3 + -10a = 8 + 13a + -13a

Combine like terms: 13a + -13a = 0
-3 + -10a = 8 + 0
-3 + -10a = 8

Add '3' to each side of the equation.
-3 + 3 + -10a = 8 + 3

Combine like terms: -3 + 3 = 0
0 + -10a = 8 + 3
-10a = 8 + 3

Combine like terms: 8 + 3 = 11
-10a = 11

Divide each side by '-10'.
a = -1.1

Simplifying
a = -1.1

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