2a+10-a+4=3(a+3)+1

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Solution for 2a+10-a+4=3(a+3)+1 equation:


Simplifying
2a + 10 + -1a + 4 = 3(a + 3) + 1

Reorder the terms:
10 + 4 + 2a + -1a = 3(a + 3) + 1

Combine like terms: 10 + 4 = 14
14 + 2a + -1a = 3(a + 3) + 1

Combine like terms: 2a + -1a = 1a
14 + 1a = 3(a + 3) + 1

Reorder the terms:
14 + 1a = 3(3 + a) + 1
14 + 1a = (3 * 3 + a * 3) + 1
14 + 1a = (9 + 3a) + 1

Reorder the terms:
14 + 1a = 9 + 1 + 3a

Combine like terms: 9 + 1 = 10
14 + 1a = 10 + 3a

Solving
14 + 1a = 10 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
14 + 1a + -3a = 10 + 3a + -3a

Combine like terms: 1a + -3a = -2a
14 + -2a = 10 + 3a + -3a

Combine like terms: 3a + -3a = 0
14 + -2a = 10 + 0
14 + -2a = 10

Add '-14' to each side of the equation.
14 + -14 + -2a = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -2a = 10 + -14
-2a = 10 + -14

Combine like terms: 10 + -14 = -4
-2a = -4

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

Simplifying
a = 2

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