3(a+4)=6[2a-(-a)]

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Solution for 3(a+4)=6[2a-(-a)] equation:


Simplifying
3(a + 4) = 6[2a + -1(-1a)]

Reorder the terms:
3(4 + a) = 6[2a + -1(-1a)]
(4 * 3 + a * 3) = 6[2a + -1(-1a)]
(12 + 3a) = 6[2a + -1(-1a)]

Remove parenthesis around (-1a)
12 + 3a = 6[2a + -1 * -1a]

Multiply -1 * -1
12 + 3a = 6[2a + 1a]

Combine like terms: 2a + 1a = 3a
12 + 3a = 6[3a]

Remove brackets around [3a]
12 + 3a = 6 * 3a

Multiply 6 * 3
12 + 3a = 18a

Solving
12 + 3a = 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
12 + 3a + -18a = 18a + -18a

Combine like terms: 3a + -18a = -15a
12 + -15a = 18a + -18a

Combine like terms: 18a + -18a = 0
12 + -15a = 0

Add '-12' to each side of the equation.
12 + -12 + -15a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -15a = 0 + -12
-15a = 0 + -12

Combine like terms: 0 + -12 = -12
-15a = -12

Divide each side by '-15'.
a = 0.8

Simplifying
a = 0.8

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