6a-3(7a-1)=-4(4a+1)

Solution for 6a-3(7a-1)=-4(4a+1) equation:

Simplifying
6a + -3(7a + -1) = -4(4a + 1)

Reorder the terms:
6a + -3(-1 + 7a) = -4(4a + 1)
6a + (-1 * -3 + 7a * -3) = -4(4a + 1)
6a + (3 + -21a) = -4(4a + 1)

Reorder the terms:
3 + 6a + -21a = -4(4a + 1)

Combine like terms: 6a + -21a = -15a
3 + -15a = -4(4a + 1)

Reorder the terms:
3 + -15a = -4(1 + 4a)
3 + -15a = (1 * -4 + 4a * -4)
3 + -15a = (-4 + -16a)

Solving
3 + -15a = -4 + -16a

Solving for variable 'a'.

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

Add '16a' to each side of the equation.
3 + -15a + 16a = -4 + -16a + 16a

Combine like terms: -15a + 16a = 1a
3 + 1a = -4 + -16a + 16a

Combine like terms: -16a + 16a = 0
3 + 1a = -4 + 0
3 + 1a = -4

Add '-3' to each side of the equation.
3 + -3 + 1a = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = -4 + -3
1a = -4 + -3

Combine like terms: -4 + -3 = -7
1a = -7

Divide each side by '1'.
a = -7

Simplifying
a = -7