-6(a+5)=6a-3(5a-10)

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Solution for -6(a+5)=6a-3(5a-10) equation:


Simplifying
-6(a + 5) = 6a + -3(5a + -10)

Reorder the terms:
-6(5 + a) = 6a + -3(5a + -10)
(5 * -6 + a * -6) = 6a + -3(5a + -10)
(-30 + -6a) = 6a + -3(5a + -10)

Reorder the terms:
-30 + -6a = 6a + -3(-10 + 5a)
-30 + -6a = 6a + (-10 * -3 + 5a * -3)
-30 + -6a = 6a + (30 + -15a)

Reorder the terms:
-30 + -6a = 30 + 6a + -15a

Combine like terms: 6a + -15a = -9a
-30 + -6a = 30 + -9a

Solving
-30 + -6a = 30 + -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
-30 + -6a + 9a = 30 + -9a + 9a

Combine like terms: -6a + 9a = 3a
-30 + 3a = 30 + -9a + 9a

Combine like terms: -9a + 9a = 0
-30 + 3a = 30 + 0
-30 + 3a = 30

Add '30' to each side of the equation.
-30 + 30 + 3a = 30 + 30

Combine like terms: -30 + 30 = 0
0 + 3a = 30 + 30
3a = 30 + 30

Combine like terms: 30 + 30 = 60
3a = 60

Divide each side by '3'.
a = 20

Simplifying
a = 20

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