16-4(2a+1)=6a+(1-3a)

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Solution for 16-4(2a+1)=6a+(1-3a) equation: 


Simplifying
16 + -4(2a + 1) = 6a + (1 + -3a)

Reorder the terms:
16 + -4(1 + 2a) = 6a + (1 + -3a)
16 + (1 * -4 + 2a * -4) = 6a + (1 + -3a)
16 + (-4 + -8a) = 6a + (1 + -3a)

Combine like terms: 16 + -4 = 12
12 + -8a = 6a + (1 + -3a)

Remove parenthesis around (1 + -3a)
12 + -8a = 6a + 1 + -3a

Reorder the terms:
12 + -8a = 1 + 6a + -3a

Combine like terms: 6a + -3a = 3a
12 + -8a = 1 + 3a

Solving
12 + -8a = 1 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
12 + -8a + -3a = 1 + 3a + -3a

Combine like terms: -8a + -3a = -11a
12 + -11a = 1 + 3a + -3a

Combine like terms: 3a + -3a = 0
12 + -11a = 1 + 0
12 + -11a = 1

Add '-12' to each side of the equation.
12 + -12 + -11a = 1 + -12

Combine like terms: 12 + -12 = 0
0 + -11a = 1 + -12
-11a = 1 + -12

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

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

Simplifying
a = 1

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