(5a+2b)-(3a-2b)=

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Solution for (5a+2b)-(3a-2b)= equation:


Simplifying
(5a + 2b) + -1(3a + -2b) = 0

Remove parenthesis around (5a + 2b)
5a + 2b + -1(3a + -2b) = 0
5a + 2b + (3a * -1 + -2b * -1) = 0
5a + 2b + (-3a + 2b) = 0

Reorder the terms:
5a + -3a + 2b + 2b = 0

Combine like terms: 5a + -3a = 2a
2a + 2b + 2b = 0

Combine like terms: 2b + 2b = 4b
2a + 4b = 0

Solving
2a + 4b = 0

Solving for variable 'a'.

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

Add '-4b' to each side of the equation.
2a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
2a + 0 = 0 + -4b
2a = 0 + -4b
Remove the zero:
2a = -4b

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

Simplifying
a = -2b

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