2(3a-a)=2a-10(a-1)

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Solution for 2(3a-a)=2a-10(a-1) equation:


Simplifying
2(3a + -1a) = 2a + -10(a + -1)

Combine like terms: 3a + -1a = 2a
2(2a) = 2a + -10(a + -1)

Remove parenthesis around (2a)
2 * 2a = 2a + -10(a + -1)

Multiply 2 * 2
4a = 2a + -10(a + -1)

Reorder the terms:
4a = 2a + -10(-1 + a)
4a = 2a + (-1 * -10 + a * -10)
4a = 2a + (10 + -10a)

Reorder the terms:
4a = 10 + 2a + -10a

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

Solving
4a = 10 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
4a + 8a = 10 + -8a + 8a

Combine like terms: 4a + 8a = 12a
12a = 10 + -8a + 8a

Combine like terms: -8a + 8a = 0
12a = 10 + 0
12a = 10

Divide each side by '12'.
a = 0.8333333333

Simplifying
a = 0.8333333333

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