a-3(a-2)+1=28

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Solution for a-3(a-2)+1=28 equation:


Simplifying
a + -3(a + -2) + 1 = 28

Reorder the terms:
a + -3(-2 + a) + 1 = 28
a + (-2 * -3 + a * -3) + 1 = 28
a + (6 + -3a) + 1 = 28

Reorder the terms:
6 + 1 + a + -3a = 28

Combine like terms: 6 + 1 = 7
7 + a + -3a = 28

Combine like terms: a + -3a = -2a
7 + -2a = 28

Solving
7 + -2a = 28

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + -2a = 28 + -7

Combine like terms: 7 + -7 = 0
0 + -2a = 28 + -7
-2a = 28 + -7

Combine like terms: 28 + -7 = 21
-2a = 21

Divide each side by '-2'.
a = -10.5

Simplifying
a = -10.5

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