5(2a+6b-6)-4(2a-5)=

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Solution for 5(2a+6b-6)-4(2a-5)= equation:


Simplifying
5(2a + 6b + -6) + -4(2a + -5) = 0

Reorder the terms:
5(-6 + 2a + 6b) + -4(2a + -5) = 0
(-6 * 5 + 2a * 5 + 6b * 5) + -4(2a + -5) = 0
(-30 + 10a + 30b) + -4(2a + -5) = 0

Reorder the terms:
-30 + 10a + 30b + -4(-5 + 2a) = 0
-30 + 10a + 30b + (-5 * -4 + 2a * -4) = 0
-30 + 10a + 30b + (20 + -8a) = 0

Reorder the terms:
-30 + 20 + 10a + -8a + 30b = 0

Combine like terms: -30 + 20 = -10
-10 + 10a + -8a + 30b = 0

Combine like terms: 10a + -8a = 2a
-10 + 2a + 30b = 0

Solving
-10 + 2a + 30b = 0

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + 2a + 10 + 30b = 0 + 10

Reorder the terms:
-10 + 10 + 2a + 30b = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 2a + 30b = 0 + 10
2a + 30b = 0 + 10

Combine like terms: 0 + 10 = 10
2a + 30b = 10

Add '-30b' to each side of the equation.
2a + 30b + -30b = 10 + -30b

Combine like terms: 30b + -30b = 0
2a + 0 = 10 + -30b
2a = 10 + -30b

Divide each side by '2'.
a = 5 + -15b

Simplifying
a = 5 + -15b

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