-4-7a+8-3a=-2(1+5a)+2(a-8)

Solution for -4-7a+8-3a=-2(1+5a)+2(a-8) equation:

Simplifying
-4 + -7a + 8 + -3a = -2(1 + 5a) + 2(a + -8)

Reorder the terms:
-4 + 8 + -7a + -3a = -2(1 + 5a) + 2(a + -8)

Combine like terms: -4 + 8 = 4
4 + -7a + -3a = -2(1 + 5a) + 2(a + -8)

Combine like terms: -7a + -3a = -10a
4 + -10a = -2(1 + 5a) + 2(a + -8)
4 + -10a = (1 * -2 + 5a * -2) + 2(a + -8)
4 + -10a = (-2 + -10a) + 2(a + -8)

Reorder the terms:
4 + -10a = -2 + -10a + 2(-8 + a)
4 + -10a = -2 + -10a + (-8 * 2 + a * 2)
4 + -10a = -2 + -10a + (-16 + 2a)

Reorder the terms:
4 + -10a = -2 + -16 + -10a + 2a

Combine like terms: -2 + -16 = -18
4 + -10a = -18 + -10a + 2a

Combine like terms: -10a + 2a = -8a
4 + -10a = -18 + -8a

Solving
4 + -10a = -18 + -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.
4 + -10a + 8a = -18 + -8a + 8a

Combine like terms: -10a + 8a = -2a
4 + -2a = -18 + -8a + 8a

Combine like terms: -8a + 8a = 0
4 + -2a = -18 + 0
4 + -2a = -18

Add '-4' to each side of the equation.
4 + -4 + -2a = -18 + -4

Combine like terms: 4 + -4 = 0
0 + -2a = -18 + -4
-2a = -18 + -4

Combine like terms: -18 + -4 = -22
-2a = -22

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

Simplifying
a = 11