-6a+2(1-5a)=4-3(8+6a)

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Solution for -6a+2(1-5a)=4-3(8+6a) equation:


Simplifying
-6a + 2(1 + -5a) = 4 + -3(8 + 6a)
-6a + (1 * 2 + -5a * 2) = 4 + -3(8 + 6a)
-6a + (2 + -10a) = 4 + -3(8 + 6a)

Reorder the terms:
2 + -6a + -10a = 4 + -3(8 + 6a)

Combine like terms: -6a + -10a = -16a
2 + -16a = 4 + -3(8 + 6a)
2 + -16a = 4 + (8 * -3 + 6a * -3)
2 + -16a = 4 + (-24 + -18a)

Combine like terms: 4 + -24 = -20
2 + -16a = -20 + -18a

Solving
2 + -16a = -20 + -18a

Solving for variable 'a'.

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

Add '18a' to each side of the equation.
2 + -16a + 18a = -20 + -18a + 18a

Combine like terms: -16a + 18a = 2a
2 + 2a = -20 + -18a + 18a

Combine like terms: -18a + 18a = 0
2 + 2a = -20 + 0
2 + 2a = -20

Add '-2' to each side of the equation.
2 + -2 + 2a = -20 + -2

Combine like terms: 2 + -2 = 0
0 + 2a = -20 + -2
2a = -20 + -2

Combine like terms: -20 + -2 = -22
2a = -22

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

Simplifying
a = -11

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