7(1+3A)=8A-19

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Solution for 7(1+3A)=8A-19 equation:


Simplifying
7(1 + 3A) = 8A + -19
(1 * 7 + 3A * 7) = 8A + -19
(7 + 21A) = 8A + -19

Reorder the terms:
7 + 21A = -19 + 8A

Solving
7 + 21A = -19 + 8A

Solving for variable 'A'.

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

Add '-8A' to each side of the equation.
7 + 21A + -8A = -19 + 8A + -8A

Combine like terms: 21A + -8A = 13A
7 + 13A = -19 + 8A + -8A

Combine like terms: 8A + -8A = 0
7 + 13A = -19 + 0
7 + 13A = -19

Add '-7' to each side of the equation.
7 + -7 + 13A = -19 + -7

Combine like terms: 7 + -7 = 0
0 + 13A = -19 + -7
13A = -19 + -7

Combine like terms: -19 + -7 = -26
13A = -26

Divide each side by '13'.
A = -2

Simplifying
A = -2

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