5(a-2)+16=7a

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


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

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

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

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

Solving
6 + 5a = 7a

Solving for variable 'a'.

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

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

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

Combine like terms: 7a + -7a = 0
6 + -2a = 0

Add '-6' to each side of the equation.
6 + -6 + -2a = 0 + -6

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

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

Divide each side by '-2'.
a = 3

Simplifying
a = 3

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