(4a+5b)-(2a+3b)=

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Solution for (4a+5b)-(2a+3b)= equation: 


Simplifying
(4a + 5b) + -1(2a + 3b) = 0

Remove parenthesis around (4a + 5b)
4a + 5b + -1(2a + 3b) = 0
4a + 5b + (2a * -1 + 3b * -1) = 0
4a + 5b + (-2a + -3b) = 0

Reorder the terms:
4a + -2a + 5b + -3b = 0

Combine like terms: 4a + -2a = 2a
2a + 5b + -3b = 0

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

Solving
2a + 2b = 0

Solving for variable 'a'.

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

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

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

Divide each side by '2'.
a = -1b

Simplifying
a = -1b

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