6=3+5(a-2)

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


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

Reorder the terms:
6 = 3 + 5(-2 + a)
6 = 3 + (-2 * 5 + a * 5)
6 = 3 + (-10 + 5a)

Combine like terms: 3 + -10 = -7
6 = -7 + 5a

Solving
6 = -7 + 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.
6 + -5a = -7 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -5a = -7 + 0
6 + -5a = -7

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

Combine like terms: 6 + -6 = 0
0 + -5a = -7 + -6
-5a = -7 + -6

Combine like terms: -7 + -6 = -13
-5a = -13

Divide each side by '-5'.
a = 2.6

Simplifying
a = 2.6

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