6-(4-7a)=-2+8a

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Solution for 6-(4-7a)=-2+8a equation:


Simplifying
6 + -1(4 + -7a) = -2 + 8a
6 + (4 * -1 + -7a * -1) = -2 + 8a
6 + (-4 + 7a) = -2 + 8a

Combine like terms: 6 + -4 = 2
2 + 7a = -2 + 8a

Solving
2 + 7a = -2 + 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.
2 + 7a + -8a = -2 + 8a + -8a

Combine like terms: 7a + -8a = -1a
2 + -1a = -2 + 8a + -8a

Combine like terms: 8a + -8a = 0
2 + -1a = -2 + 0
2 + -1a = -2

Add '-2' to each side of the equation.
2 + -2 + -1a = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = -2 + -2
-1a = -2 + -2

Combine like terms: -2 + -2 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4

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