11((a)-2)+3(a)=-7(a)+14

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Solution for 11((a)-2)+3(a)=-7(a)+14 equation: 


Simplifying
11((a) + -2) + 3(a) = -7(a) + 14
11(a + -2) + 3(a) = -7(a) + 14

Reorder the terms:
11(-2 + a) + 3(a) = -7(a) + 14
(-2 * 11 + a * 11) + 3(a) = -7(a) + 14
(-22 + 11a) + 3(a) = -7(a) + 14

Combine like terms: 11a + 3a = 14a
-22 + 14a = -7(a) + 14

Reorder the terms:
-22 + 14a = 14 + -7a

Solving
-22 + 14a = 14 + -7a

Solving for variable 'a'.

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

Add '7a' to each side of the equation.
-22 + 14a + 7a = 14 + -7a + 7a

Combine like terms: 14a + 7a = 21a
-22 + 21a = 14 + -7a + 7a

Combine like terms: -7a + 7a = 0
-22 + 21a = 14 + 0
-22 + 21a = 14

Add '22' to each side of the equation.
-22 + 22 + 21a = 14 + 22

Combine like terms: -22 + 22 = 0
0 + 21a = 14 + 22
21a = 14 + 22

Combine like terms: 14 + 22 = 36
21a = 36

Divide each side by '21'.
a = 1.714285714

Simplifying
a = 1.714285714

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