21=3(a-7)+9

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Solution for 21=3(a-7)+9 equation: 


Simplifying
21 = 3(a + -7) + 9

Reorder the terms:
21 = 3(-7 + a) + 9
21 = (-7 * 3 + a * 3) + 9
21 = (-21 + 3a) + 9

Reorder the terms:
21 = -21 + 9 + 3a

Combine like terms: -21 + 9 = -12
21 = -12 + 3a

Solving
21 = -12 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
21 + -3a = -12 + 3a + -3a

Combine like terms: 3a + -3a = 0
21 + -3a = -12 + 0
21 + -3a = -12

Add '-21' to each side of the equation.
21 + -21 + -3a = -12 + -21

Combine like terms: 21 + -21 = 0
0 + -3a = -12 + -21
-3a = -12 + -21

Combine like terms: -12 + -21 = -33
-3a = -33

Divide each side by '-3'.
a = 11

Simplifying
a = 11

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