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

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


Simplifying
6(5 + 2a) = -2(6 + -3a)
(5 * 6 + 2a * 6) = -2(6 + -3a)
(30 + 12a) = -2(6 + -3a)
30 + 12a = (6 * -2 + -3a * -2)
30 + 12a = (-12 + 6a)

Solving
30 + 12a = -12 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
30 + 12a + -6a = -12 + 6a + -6a

Combine like terms: 12a + -6a = 6a
30 + 6a = -12 + 6a + -6a

Combine like terms: 6a + -6a = 0
30 + 6a = -12 + 0
30 + 6a = -12

Add '-30' to each side of the equation.
30 + -30 + 6a = -12 + -30

Combine like terms: 30 + -30 = 0
0 + 6a = -12 + -30
6a = -12 + -30

Combine like terms: -12 + -30 = -42
6a = -42

Divide each side by '6'.
a = -7

Simplifying
a = -7

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