6+7a=-3+2(4a-3)

Solution for 6+7a=-3+2(4a-3) equation:

Simplifying
6 + 7a = -3 + 2(4a + -3)

Reorder the terms:
6 + 7a = -3 + 2(-3 + 4a)
6 + 7a = -3 + (-3 * 2 + 4a * 2)
6 + 7a = -3 + (-6 + 8a)

Combine like terms: -3 + -6 = -9
6 + 7a = -9 + 8a

Solving
6 + 7a = -9 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
6 + 7a + -8a = -9 + 8a + -8a

Combine like terms: 7a + -8a = -1a
6 + -1a = -9 + 8a + -8a

Combine like terms: 8a + -8a = 0
6 + -1a = -9 + 0
6 + -1a = -9

Add '-6' to each side of the equation.
6 + -6 + -1a = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = -9 + -6
-1a = -9 + -6

Combine like terms: -9 + -6 = -15
-1a = -15

Divide each side by '-1'.
a = 15

Simplifying
a = 15