7(3a-2)-2(a-3)=0

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Solution for 7(3a-2)-2(a-3)=0 equation:


Simplifying
7(3a + -2) + -2(a + -3) = 0

Reorder the terms:
7(-2 + 3a) + -2(a + -3) = 0
(-2 * 7 + 3a * 7) + -2(a + -3) = 0
(-14 + 21a) + -2(a + -3) = 0

Reorder the terms:
-14 + 21a + -2(-3 + a) = 0
-14 + 21a + (-3 * -2 + a * -2) = 0
-14 + 21a + (6 + -2a) = 0

Reorder the terms:
-14 + 6 + 21a + -2a = 0

Combine like terms: -14 + 6 = -8
-8 + 21a + -2a = 0

Combine like terms: 21a + -2a = 19a
-8 + 19a = 0

Solving
-8 + 19a = 0

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + 19a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 19a = 0 + 8
19a = 0 + 8

Combine like terms: 0 + 8 = 8
19a = 8

Divide each side by '19'.
a = 0.4210526316

Simplifying
a = 0.4210526316

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