(3a+5b)-(2a-3b)+(4a-6b)=

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Solution for (3a+5b)-(2a-3b)+(4a-6b)= equation:


Simplifying
(3a + 5b) + -1(2a + -3b) + (4a + -6b) = 0

Remove parenthesis around (3a + 5b)
3a + 5b + -1(2a + -3b) + (4a + -6b) = 0
3a + 5b + (2a * -1 + -3b * -1) + (4a + -6b) = 0
3a + 5b + (-2a + 3b) + (4a + -6b) = 0

Remove parenthesis around (4a + -6b)
3a + 5b + -2a + 3b + 4a + -6b = 0

Reorder the terms:
3a + -2a + 4a + 5b + 3b + -6b = 0

Combine like terms: 3a + -2a = 1a
1a + 4a + 5b + 3b + -6b = 0

Combine like terms: 1a + 4a = 5a
5a + 5b + 3b + -6b = 0

Combine like terms: 5b + 3b = 8b
5a + 8b + -6b = 0

Combine like terms: 8b + -6b = 2b
5a + 2b = 0

Solving
5a + 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.
5a + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
5a + 0 = 0 + -2b
5a = 0 + -2b
Remove the zero:
5a = -2b

Divide each side by '5'.
a = -0.4b

Simplifying
a = -0.4b

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