4x+2a=144-6(7b+x)-2(x+y)

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Solution for 4x+2a=144-6(7b+x)-2(x+y) equation:


Simplifying
4x + 2a = 144 + -6(7b + x) + -2(x + y)

Reorder the terms:
2a + 4x = 144 + -6(7b + x) + -2(x + y)
2a + 4x = 144 + (7b * -6 + x * -6) + -2(x + y)
2a + 4x = 144 + (-42b + -6x) + -2(x + y)
2a + 4x = 144 + -42b + -6x + (x * -2 + y * -2)
2a + 4x = 144 + -42b + -6x + (-2x + -2y)

Combine like terms: -6x + -2x = -8x
2a + 4x = 144 + -42b + -8x + -2y

Solving
2a + 4x = 144 + -42b + -8x + -2y

Solving for variable 'a'.

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

Add '-4x' to each side of the equation.
2a + 4x + -4x = 144 + -42b + -8x + -4x + -2y

Combine like terms: 4x + -4x = 0
2a + 0 = 144 + -42b + -8x + -4x + -2y
2a = 144 + -42b + -8x + -4x + -2y

Combine like terms: -8x + -4x = -12x
2a = 144 + -42b + -12x + -2y

Divide each side by '2'.
a = 72 + -21b + -6x + -1y

Simplifying
a = 72 + -21b + -6x + -1y

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