7a=5(a-2)+16

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Solution for 7a=5(a-2)+16 equation:


Simplifying
7a = 5(a + -2) + 16

Reorder the terms:
7a = 5(-2 + a) + 16
7a = (-2 * 5 + a * 5) + 16
7a = (-10 + 5a) + 16

Reorder the terms:
7a = -10 + 16 + 5a

Combine like terms: -10 + 16 = 6
7a = 6 + 5a

Solving
7a = 6 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
7a + -5a = 6 + 5a + -5a

Combine like terms: 7a + -5a = 2a
2a = 6 + 5a + -5a

Combine like terms: 5a + -5a = 0
2a = 6 + 0
2a = 6

Divide each side by '2'.
a = 3

Simplifying
a = 3

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