2(n-8)+7=5(a+2)-3a-19

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Solution for 2(n-8)+7=5(a+2)-3a-19 equation: 


Simplifying
2(n + -8) + 7 = 5(a + 2) + -3a + -19

Reorder the terms:
2(-8 + n) + 7 = 5(a + 2) + -3a + -19
(-8 * 2 + n * 2) + 7 = 5(a + 2) + -3a + -19
(-16 + 2n) + 7 = 5(a + 2) + -3a + -19

Reorder the terms:
-16 + 7 + 2n = 5(a + 2) + -3a + -19

Combine like terms: -16 + 7 = -9
-9 + 2n = 5(a + 2) + -3a + -19

Reorder the terms:
-9 + 2n = 5(2 + a) + -3a + -19
-9 + 2n = (2 * 5 + a * 5) + -3a + -19
-9 + 2n = (10 + 5a) + -3a + -19

Reorder the terms:
-9 + 2n = 10 + -19 + 5a + -3a

Combine like terms: 10 + -19 = -9
-9 + 2n = -9 + 5a + -3a

Combine like terms: 5a + -3a = 2a
-9 + 2n = -9 + 2a

Add '9' to each side of the equation.
-9 + 9 + 2n = -9 + 9 + 2a

Combine like terms: -9 + 9 = 0
0 + 2n = -9 + 9 + 2a
2n = -9 + 9 + 2a

Combine like terms: -9 + 9 = 0
2n = 0 + 2a
2n = 2a

Solving
2n = 2a

Solving for variable 'n'.

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

Divide each side by '2'.
n = a

Simplifying
n = a

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