(-2a+3b-7)-(-5a-4)=0

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Solution for (-2a+3b-7)-(-5a-4)=0 equation:


Simplifying
(-2a + 3b + -7) + -1(-5a + -4) = 0

Reorder the terms:
(-7 + -2a + 3b) + -1(-5a + -4) = 0

Remove parenthesis around (-7 + -2a + 3b)
-7 + -2a + 3b + -1(-5a + -4) = 0

Reorder the terms:
-7 + -2a + 3b + -1(-4 + -5a) = 0
-7 + -2a + 3b + (-4 * -1 + -5a * -1) = 0
-7 + -2a + 3b + (4 + 5a) = 0

Reorder the terms:
-7 + 4 + -2a + 5a + 3b = 0

Combine like terms: -7 + 4 = -3
-3 + -2a + 5a + 3b = 0

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

Solving
-3 + 3a + 3b = 0

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3a + 3 + 3b = 0 + 3

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

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

Combine like terms: 0 + 3 = 3
3a + 3b = 3

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

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

Divide each side by '3'.
a = 1 + -1b

Simplifying
a = 1 + -1b

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