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

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


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

Reorder the terms:
2a + -5(-2 + a) + 4(b + -2) = 0
2a + (-2 * -5 + a * -5) + 4(b + -2) = 0
2a + (10 + -5a) + 4(b + -2) = 0

Reorder the terms:
2a + 10 + -5a + 4(-2 + b) = 0
2a + 10 + -5a + (-2 * 4 + b * 4) = 0
2a + 10 + -5a + (-8 + 4b) = 0

Reorder the terms:
10 + -8 + 2a + -5a + 4b = 0

Combine like terms: 10 + -8 = 2
2 + 2a + -5a + 4b = 0

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

Solving
2 + -3a + 4b = 0

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -3a + -2 + 4b = 0 + -2

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

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

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

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

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

Divide each side by '-3'.
a = 0.6666666667 + 1.333333333b

Simplifying
a = 0.6666666667 + 1.333333333b

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