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

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


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

Combine like terms: 6a + -2a = 4a
5 + (4a) = (5a + -11) + -1(6 + 3a)
5 + (4a) = (5a + -11) + -1(6 + 3a)

Reorder the terms:
5 + (4a) = (-11 + 5a) + -1(6 + 3a)

Remove parenthesis around (-11 + 5a)
5 + (4a) = -11 + 5a + -1(6 + 3a)
5 + (4a) = -11 + 5a + (6 * -1 + 3a * -1)
5 + (4a) = -11 + 5a + (-6 + -3a)

Reorder the terms:
5 + (4a) = -11 + -6 + 5a + -3a

Combine like terms: -11 + -6 = -17
5 + (4a) = -17 + 5a + -3a

Combine like terms: 5a + -3a = 2a
5 + (4a) = -17 + 2a

Solving
5 + (4a) = -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.
5 + (4a) + -2a = -17 + 2a + -2a

Combine like terms: (4a) + -2a = 2a
5 + 2a = -17 + 2a + -2a

Combine like terms: 2a + -2a = 0
5 + 2a = -17 + 0
5 + 2a = -17

Add '-5' to each side of the equation.
5 + -5 + 2a = -17 + -5

Combine like terms: 5 + -5 = 0
0 + 2a = -17 + -5
2a = -17 + -5

Combine like terms: -17 + -5 = -22
2a = -22

Divide each side by '2'.
a = -11

Simplifying
a = -11

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