6(2a-3)-(7a+4)=2

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Solution for 6(2a-3)-(7a+4)=2 equation:


Simplifying
6(2a + -3) + -1(7a + 4) = 2

Reorder the terms:
6(-3 + 2a) + -1(7a + 4) = 2
(-3 * 6 + 2a * 6) + -1(7a + 4) = 2
(-18 + 12a) + -1(7a + 4) = 2

Reorder the terms:
-18 + 12a + -1(4 + 7a) = 2
-18 + 12a + (4 * -1 + 7a * -1) = 2
-18 + 12a + (-4 + -7a) = 2

Reorder the terms:
-18 + -4 + 12a + -7a = 2

Combine like terms: -18 + -4 = -22
-22 + 12a + -7a = 2

Combine like terms: 12a + -7a = 5a
-22 + 5a = 2

Solving
-22 + 5a = 2

Solving for variable 'a'.

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

Add '22' to each side of the equation.
-22 + 22 + 5a = 2 + 22

Combine like terms: -22 + 22 = 0
0 + 5a = 2 + 22
5a = 2 + 22

Combine like terms: 2 + 22 = 24
5a = 24

Divide each side by '5'.
a = 4.8

Simplifying
a = 4.8

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