4(3-a)-(6a+1)=-11a

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Solution for 4(3-a)-(6a+1)=-11a equation:


Simplifying
4(3 + -1a) + -1(6a + 1) = -11a
(3 * 4 + -1a * 4) + -1(6a + 1) = -11a
(12 + -4a) + -1(6a + 1) = -11a

Reorder the terms:
12 + -4a + -1(1 + 6a) = -11a
12 + -4a + (1 * -1 + 6a * -1) = -11a
12 + -4a + (-1 + -6a) = -11a

Reorder the terms:
12 + -1 + -4a + -6a = -11a

Combine like terms: 12 + -1 = 11
11 + -4a + -6a = -11a

Combine like terms: -4a + -6a = -10a
11 + -10a = -11a

Solving
11 + -10a = -11a

Solving for variable 'a'.

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

Add '11a' to each side of the equation.
11 + -10a + 11a = -11a + 11a

Combine like terms: -10a + 11a = 1a
11 + 1a = -11a + 11a

Combine like terms: -11a + 11a = 0
11 + 1a = 0

Add '-11' to each side of the equation.
11 + -11 + 1a = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 1a = 0 + -11
1a = 0 + -11

Combine like terms: 0 + -11 = -11
1a = -11

Divide each side by '1'.
a = -11

Simplifying
a = -11

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