(2a+8)+(4b+5)=k

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Solution for (2a+8)+(4b+5)=k equation:


Simplifying
(2a + 8) + (4b + 5) = k

Reorder the terms:
(8 + 2a) + (4b + 5) = k

Remove parenthesis around (8 + 2a)
8 + 2a + (4b + 5) = k

Reorder the terms:
8 + 2a + (5 + 4b) = k

Remove parenthesis around (5 + 4b)
8 + 2a + 5 + 4b = k

Reorder the terms:
8 + 5 + 2a + 4b = k

Combine like terms: 8 + 5 = 13
13 + 2a + 4b = k

Solving
13 + 2a + 4b = k

Solving for variable 'a'.

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

Add '-13' to each side of the equation.
13 + 2a + -13 + 4b = -13 + k

Reorder the terms:
13 + -13 + 2a + 4b = -13 + k

Combine like terms: 13 + -13 = 0
0 + 2a + 4b = -13 + k
2a + 4b = -13 + k

Add '-4b' to each side of the equation.
2a + 4b + -4b = -13 + -4b + k

Combine like terms: 4b + -4b = 0
2a + 0 = -13 + -4b + k
2a = -13 + -4b + k

Divide each side by '2'.
a = -6.5 + -2b + 0.5k

Simplifying
a = -6.5 + -2b + 0.5k

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