21-3(a-7)=2a+20

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Solution for 21-3(a-7)=2a+20 equation:


Simplifying
21 + -3(a + -7) = 2a + 20

Reorder the terms:
21 + -3(-7 + a) = 2a + 20
21 + (-7 * -3 + a * -3) = 2a + 20
21 + (21 + -3a) = 2a + 20

Combine like terms: 21 + 21 = 42
42 + -3a = 2a + 20

Reorder the terms:
42 + -3a = 20 + 2a

Solving
42 + -3a = 20 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
42 + -3a + -2a = 20 + 2a + -2a

Combine like terms: -3a + -2a = -5a
42 + -5a = 20 + 2a + -2a

Combine like terms: 2a + -2a = 0
42 + -5a = 20 + 0
42 + -5a = 20

Add '-42' to each side of the equation.
42 + -42 + -5a = 20 + -42

Combine like terms: 42 + -42 = 0
0 + -5a = 20 + -42
-5a = 20 + -42

Combine like terms: 20 + -42 = -22
-5a = -22

Divide each side by '-5'.
a = 4.4

Simplifying
a = 4.4

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