2a+3b+6c+7d+8e=61

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Solution for 2a+3b+6c+7d+8e=61 equation:


Simplifying
2a + 3b + 6c + 7d + 8e = 61

Solving
2a + 3b + 6c + 7d + 8e = 61

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
2a + 3b + 6c + 7d + -3b + 8e = 61 + -3b

Reorder the terms:
2a + 3b + -3b + 6c + 7d + 8e = 61 + -3b

Combine like terms: 3b + -3b = 0
2a + 0 + 6c + 7d + 8e = 61 + -3b
2a + 6c + 7d + 8e = 61 + -3b

Add '-6c' to each side of the equation.
2a + 6c + 7d + -6c + 8e = 61 + -3b + -6c

Reorder the terms:
2a + 6c + -6c + 7d + 8e = 61 + -3b + -6c

Combine like terms: 6c + -6c = 0
2a + 0 + 7d + 8e = 61 + -3b + -6c
2a + 7d + 8e = 61 + -3b + -6c

Add '-7d' to each side of the equation.
2a + 7d + -7d + 8e = 61 + -3b + -6c + -7d

Combine like terms: 7d + -7d = 0
2a + 0 + 8e = 61 + -3b + -6c + -7d
2a + 8e = 61 + -3b + -6c + -7d

Add '-8e' to each side of the equation.
2a + 8e + -8e = 61 + -3b + -6c + -7d + -8e

Combine like terms: 8e + -8e = 0
2a + 0 = 61 + -3b + -6c + -7d + -8e
2a = 61 + -3b + -6c + -7d + -8e

Divide each side by '2'.
a = 30.5 + -1.5b + -3c + -3.5d + -4e

Simplifying
a = 30.5 + -1.5b + -3c + -3.5d + -4e

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