9(2a+7)=3(4a-3)

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Solution for 9(2a+7)=3(4a-3) equation:


Simplifying
9(2a + 7) = 3(4a + -3)

Reorder the terms:
9(7 + 2a) = 3(4a + -3)
(7 * 9 + 2a * 9) = 3(4a + -3)
(63 + 18a) = 3(4a + -3)

Reorder the terms:
63 + 18a = 3(-3 + 4a)
63 + 18a = (-3 * 3 + 4a * 3)
63 + 18a = (-9 + 12a)

Solving
63 + 18a = -9 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
63 + 18a + -12a = -9 + 12a + -12a

Combine like terms: 18a + -12a = 6a
63 + 6a = -9 + 12a + -12a

Combine like terms: 12a + -12a = 0
63 + 6a = -9 + 0
63 + 6a = -9

Add '-63' to each side of the equation.
63 + -63 + 6a = -9 + -63

Combine like terms: 63 + -63 = 0
0 + 6a = -9 + -63
6a = -9 + -63

Combine like terms: -9 + -63 = -72
6a = -72

Divide each side by '6'.
a = -12

Simplifying
a = -12

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