2a+11=-14a+59

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Solution for 2a+11=-14a+59 equation:


Simplifying
2a + 11 = -14a + 59

Reorder the terms:
11 + 2a = -14a + 59

Reorder the terms:
11 + 2a = 59 + -14a

Solving
11 + 2a = 59 + -14a

Solving for variable 'a'.

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

Add '14a' to each side of the equation.
11 + 2a + 14a = 59 + -14a + 14a

Combine like terms: 2a + 14a = 16a
11 + 16a = 59 + -14a + 14a

Combine like terms: -14a + 14a = 0
11 + 16a = 59 + 0
11 + 16a = 59

Add '-11' to each side of the equation.
11 + -11 + 16a = 59 + -11

Combine like terms: 11 + -11 = 0
0 + 16a = 59 + -11
16a = 59 + -11

Combine like terms: 59 + -11 = 48
16a = 48

Divide each side by '16'.
a = 3

Simplifying
a = 3

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