3(a+10)=27a-(3a-a)

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Solution for 3(a+10)=27a-(3a-a) equation:


Simplifying
3(a + 10) = 27a + -1(3a + -1a)

Reorder the terms:
3(10 + a) = 27a + -1(3a + -1a)
(10 * 3 + a * 3) = 27a + -1(3a + -1a)
(30 + 3a) = 27a + -1(3a + -1a)

Combine like terms: 3a + -1a = 2a
30 + 3a = 27a + -1(2a)

Remove parenthesis around (2a)
30 + 3a = 27a + -1 * 2a

Multiply -1 * 2
30 + 3a = 27a + -2a

Combine like terms: 27a + -2a = 25a
30 + 3a = 25a

Solving
30 + 3a = 25a

Solving for variable 'a'.

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

Add '-25a' to each side of the equation.
30 + 3a + -25a = 25a + -25a

Combine like terms: 3a + -25a = -22a
30 + -22a = 25a + -25a

Combine like terms: 25a + -25a = 0
30 + -22a = 0

Add '-30' to each side of the equation.
30 + -30 + -22a = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -22a = 0 + -30
-22a = 0 + -30

Combine like terms: 0 + -30 = -30
-22a = -30

Divide each side by '-22'.
a = 1.363636364

Simplifying
a = 1.363636364

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