5+(6-2a)=(5a-11)-(6+3a)

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Solution for 5+(6-2a)=(5a-11)-(6+3a) equation:


Simplifying
5 + (6 + -2a) = (5a + -11) + -1(6 + 3a)

Remove parenthesis around (6 + -2a)
5 + 6 + -2a = (5a + -11) + -1(6 + 3a)

Combine like terms: 5 + 6 = 11
11 + -2a = (5a + -11) + -1(6 + 3a)

Reorder the terms:
11 + -2a = (-11 + 5a) + -1(6 + 3a)

Remove parenthesis around (-11 + 5a)
11 + -2a = -11 + 5a + -1(6 + 3a)
11 + -2a = -11 + 5a + (6 * -1 + 3a * -1)
11 + -2a = -11 + 5a + (-6 + -3a)

Reorder the terms:
11 + -2a = -11 + -6 + 5a + -3a

Combine like terms: -11 + -6 = -17
11 + -2a = -17 + 5a + -3a

Combine like terms: 5a + -3a = 2a
11 + -2a = -17 + 2a

Solving
11 + -2a = -17 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
11 + -2a + -2a = -17 + 2a + -2a

Combine like terms: -2a + -2a = -4a
11 + -4a = -17 + 2a + -2a

Combine like terms: 2a + -2a = 0
11 + -4a = -17 + 0
11 + -4a = -17

Add '-11' to each side of the equation.
11 + -11 + -4a = -17 + -11

Combine like terms: 11 + -11 = 0
0 + -4a = -17 + -11
-4a = -17 + -11

Combine like terms: -17 + -11 = -28
-4a = -28

Divide each side by '-4'.
a = 7

Simplifying
a = 7

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