-2(5a+3)+2(6a-3)=0

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Solution for -2(5a+3)+2(6a-3)=0 equation:


Simplifying
-2(5a + 3) + 2(6a + -3) = 0

Reorder the terms:
-2(3 + 5a) + 2(6a + -3) = 0
(3 * -2 + 5a * -2) + 2(6a + -3) = 0
(-6 + -10a) + 2(6a + -3) = 0

Reorder the terms:
-6 + -10a + 2(-3 + 6a) = 0
-6 + -10a + (-3 * 2 + 6a * 2) = 0
-6 + -10a + (-6 + 12a) = 0

Reorder the terms:
-6 + -6 + -10a + 12a = 0

Combine like terms: -6 + -6 = -12
-12 + -10a + 12a = 0

Combine like terms: -10a + 12a = 2a
-12 + 2a = 0

Solving
-12 + 2a = 0

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 12 + 2a = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 2a = 0 + 12
2a = 0 + 12

Combine like terms: 0 + 12 = 12
2a = 12

Divide each side by '2'.
a = 6

Simplifying
a = 6

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