2a+2b+2c+2d=a+b+c+d+890

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Solution for 2a+2b+2c+2d=a+b+c+d+890 equation:


Simplifying
2a + 2b + 2c + 2d = a + b + c + d + 890

Reorder the terms:
2a + 2b + 2c + 2d = 890 + a + b + c + d

Solving
2a + 2b + 2c + 2d = 890 + a + b + c + d

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
2a + 2b + 2c + -1a + 2d = 890 + a + b + c + -1a + d

Reorder the terms:
2a + -1a + 2b + 2c + 2d = 890 + a + b + c + -1a + d

Combine like terms: 2a + -1a = 1a
1a + 2b + 2c + 2d = 890 + a + b + c + -1a + d

Reorder the terms:
1a + 2b + 2c + 2d = 890 + a + -1a + b + c + d

Combine like terms: a + -1a = 0
1a + 2b + 2c + 2d = 890 + 0 + b + c + d
1a + 2b + 2c + 2d = 890 + b + c + d

Add '-2b' to each side of the equation.
1a + 2b + 2c + -2b + 2d = 890 + b + c + -2b + d

Reorder the terms:
1a + 2b + -2b + 2c + 2d = 890 + b + c + -2b + d

Combine like terms: 2b + -2b = 0
1a + 0 + 2c + 2d = 890 + b + c + -2b + d
1a + 2c + 2d = 890 + b + c + -2b + d

Reorder the terms:
1a + 2c + 2d = 890 + b + -2b + c + d

Combine like terms: b + -2b = -1b
1a + 2c + 2d = 890 + -1b + c + d

Add '-2c' to each side of the equation.
1a + 2c + -2c + 2d = 890 + -1b + c + -2c + d

Combine like terms: 2c + -2c = 0
1a + 0 + 2d = 890 + -1b + c + -2c + d
1a + 2d = 890 + -1b + c + -2c + d

Combine like terms: c + -2c = -1c
1a + 2d = 890 + -1b + -1c + d

Add '-2d' to each side of the equation.
1a + 2d + -2d = 890 + -1b + -1c + d + -2d

Combine like terms: 2d + -2d = 0
1a + 0 = 890 + -1b + -1c + d + -2d
1a = 890 + -1b + -1c + d + -2d

Combine like terms: d + -2d = -1d
1a = 890 + -1b + -1c + -1d

Divide each side by '1'.
a = 890 + -1b + -1c + -1d

Simplifying
a = 890 + -1b + -1c + -1d

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