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

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


Simplifying
4 + -2(a + -3) = -2 + -1(4a + 2)

Reorder the terms:
4 + -2(-3 + a) = -2 + -1(4a + 2)
4 + (-3 * -2 + a * -2) = -2 + -1(4a + 2)
4 + (6 + -2a) = -2 + -1(4a + 2)

Combine like terms: 4 + 6 = 10
10 + -2a = -2 + -1(4a + 2)

Reorder the terms:
10 + -2a = -2 + -1(2 + 4a)
10 + -2a = -2 + (2 * -1 + 4a * -1)
10 + -2a = -2 + (-2 + -4a)

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

Solving
10 + -2a = -4 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
10 + -2a + 4a = -4 + -4a + 4a

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

Combine like terms: -4a + 4a = 0
10 + 2a = -4 + 0
10 + 2a = -4

Add '-10' to each side of the equation.
10 + -10 + 2a = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 2a = -4 + -10
2a = -4 + -10

Combine like terms: -4 + -10 = -14
2a = -14

Divide each side by '2'.
a = -7

Simplifying
a = -7

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