4a+3b=2a+(b-1)

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Solution for 4a+3b=2a+(b-1) equation:


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

Reorder the terms:
4a + 3b = 2a + (-1 + b)

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

Reorder the terms:
4a + 3b = -1 + 2a + b

Solving
4a + 3b = -1 + 2a + b

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
4a + -2a + 3b = -1 + 2a + -2a + b

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

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

Add '-3b' to each side of the equation.
2a + 3b + -3b = -1 + b + -3b

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

Combine like terms: b + -3b = -2b
2a = -1 + -2b

Divide each side by '2'.
a = -0.5 + -1b

Simplifying
a = -0.5 + -1b

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