12a-7(2+a)=2(4a-3)

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Solution for 12a-7(2+a)=2(4a-3) equation:


Simplifying
12a + -7(2 + a) = 2(4a + -3)
12a + (2 * -7 + a * -7) = 2(4a + -3)
12a + (-14 + -7a) = 2(4a + -3)

Reorder the terms:
-14 + 12a + -7a = 2(4a + -3)

Combine like terms: 12a + -7a = 5a
-14 + 5a = 2(4a + -3)

Reorder the terms:
-14 + 5a = 2(-3 + 4a)
-14 + 5a = (-3 * 2 + 4a * 2)
-14 + 5a = (-6 + 8a)

Solving
-14 + 5a = -6 + 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.
-14 + 5a + -8a = -6 + 8a + -8a

Combine like terms: 5a + -8a = -3a
-14 + -3a = -6 + 8a + -8a

Combine like terms: 8a + -8a = 0
-14 + -3a = -6 + 0
-14 + -3a = -6

Add '14' to each side of the equation.
-14 + 14 + -3a = -6 + 14

Combine like terms: -14 + 14 = 0
0 + -3a = -6 + 14
-3a = -6 + 14

Combine like terms: -6 + 14 = 8
-3a = 8

Divide each side by '-3'.
a = -2.666666667

Simplifying
a = -2.666666667

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