6b+7a=3a-5b

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Solution for 6b+7a=3a-5b equation:


Simplifying
6b + 7a = 3a + -5b

Reorder the terms:
7a + 6b = 3a + -5b

Solving
7a + 6b = 3a + -5b

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
7a + -3a + 6b = 3a + -3a + -5b

Combine like terms: 7a + -3a = 4a
4a + 6b = 3a + -3a + -5b

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

Add '-6b' to each side of the equation.
4a + 6b + -6b = -5b + -6b

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

Combine like terms: -5b + -6b = -11b
4a = -11b

Divide each side by '4'.
a = -2.75b

Simplifying
a = -2.75b

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