10-(4a-b)-5(a+3)+7b=

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Solution for 10-(4a-b)-5(a+3)+7b= equation:


Simplifying
10 + -1(4a + -1b) + -5(a + 3) + 7b = 0
10 + (4a * -1 + -1b * -1) + -5(a + 3) + 7b = 0
10 + (-4a + 1b) + -5(a + 3) + 7b = 0

Reorder the terms:
10 + -4a + 1b + -5(3 + a) + 7b = 0
10 + -4a + 1b + (3 * -5 + a * -5) + 7b = 0
10 + -4a + 1b + (-15 + -5a) + 7b = 0

Reorder the terms:
10 + -15 + -4a + -5a + 1b + 7b = 0

Combine like terms: 10 + -15 = -5
-5 + -4a + -5a + 1b + 7b = 0

Combine like terms: -4a + -5a = -9a
-5 + -9a + 1b + 7b = 0

Combine like terms: 1b + 7b = 8b
-5 + -9a + 8b = 0

Solving
-5 + -9a + 8b = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + -9a + 5 + 8b = 0 + 5

Reorder the terms:
-5 + 5 + -9a + 8b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9a + 8b = 0 + 5
-9a + 8b = 0 + 5

Combine like terms: 0 + 5 = 5
-9a + 8b = 5

Add '-8b' to each side of the equation.
-9a + 8b + -8b = 5 + -8b

Combine like terms: 8b + -8b = 0
-9a + 0 = 5 + -8b
-9a = 5 + -8b

Divide each side by '-9'.
a = -0.5555555556 + 0.8888888889b

Simplifying
a = -0.5555555556 + 0.8888888889b

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