(7a+2*13a-5)-(8a+2*4a-3)-(3a-2*3a-2)-(5a-4*6a-5)-(5a+4*4a+1)=297

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Solution for (7a+2*13a-5)-(8a+2*4a-3)-(3a-2*3a-2)-(5a-4*6a-5)-(5a+4*4a+1)=297 equation: 


Simplifying
(7a + 2 * 13a + -5) + -1(8a + 2 * 4a + -3) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Multiply 2 * 13
(7a + 26a + -5) + -1(8a + 2 * 4a + -3) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Reorder the terms:
(-5 + 7a + 26a) + -1(8a + 2 * 4a + -3) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Combine like terms: 7a + 26a = 33a
(-5 + 33a) + -1(8a + 2 * 4a + -3) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Remove parenthesis around (-5 + 33a)
-5 + 33a + -1(8a + 2 * 4a + -3) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Multiply 2 * 4
-5 + 33a + -1(8a + 8a + -3) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Reorder the terms:
-5 + 33a + -1(-3 + 8a + 8a) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Combine like terms: 8a + 8a = 16a
-5 + 33a + -1(-3 + 16a) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297
-5 + 33a + (-3 * -1 + 16a * -1) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297
-5 + 33a + (3 + -16a) + -1(3a + -2 * 3a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Multiply -2 * 3
-5 + 33a + 3 + -16a + -1(3a + -6a + -2) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Reorder the terms:
-5 + 33a + 3 + -16a + -1(-2 + 3a + -6a) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Combine like terms: 3a + -6a = -3a
-5 + 33a + 3 + -16a + -1(-2 + -3a) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297
-5 + 33a + 3 + -16a + (-2 * -1 + -3a * -1) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297
-5 + 33a + 3 + -16a + (2 + 3a) + -1(5a + -4 * 6a + -5) + -1(5a + 4 * 4a + 1) = 297

Multiply -4 * 6
-5 + 33a + 3 + -16a + 2 + 3a + -1(5a + -24a + -5) + -1(5a + 4 * 4a + 1) = 297

Reorder the terms:
-5 + 33a + 3 + -16a + 2 + 3a + -1(-5 + 5a + -24a) + -1(5a + 4 * 4a + 1) = 297

Combine like terms: 5a + -24a = -19a
-5 + 33a + 3 + -16a + 2 + 3a + -1(-5 + -19a) + -1(5a + 4 * 4a + 1) = 297
-5 + 33a + 3 + -16a + 2 + 3a + (-5 * -1 + -19a * -1) + -1(5a + 4 * 4a + 1) = 297
-5 + 33a + 3 + -16a + 2 + 3a + (5 + 19a) + -1(5a + 4 * 4a + 1) = 297

Multiply 4 * 4
-5 + 33a + 3 + -16a + 2 + 3a + 5 + 19a + -1(5a + 16a + 1) = 297

Reorder the terms:
-5 + 33a + 3 + -16a + 2 + 3a + 5 + 19a + -1(1 + 5a + 16a) = 297

Combine like terms: 5a + 16a = 21a
-5 + 33a + 3 + -16a + 2 + 3a + 5 + 19a + -1(1 + 21a) = 297
-5 + 33a + 3 + -16a + 2 + 3a + 5 + 19a + (1 * -1 + 21a * -1) = 297
-5 + 33a + 3 + -16a + 2 + 3a + 5 + 19a + (-1 + -21a) = 297

Reorder the terms:
-5 + 3 + 2 + 5 + -1 + 33a + -16a + 3a + 19a + -21a = 297

Combine like terms: -5 + 3 = -2
-2 + 2 + 5 + -1 + 33a + -16a + 3a + 19a + -21a = 297

Combine like terms: -2 + 2 = 0
0 + 5 + -1 + 33a + -16a + 3a + 19a + -21a = 297
5 + -1 + 33a + -16a + 3a + 19a + -21a = 297

Combine like terms: 5 + -1 = 4
4 + 33a + -16a + 3a + 19a + -21a = 297

Combine like terms: 33a + -16a = 17a
4 + 17a + 3a + 19a + -21a = 297

Combine like terms: 17a + 3a = 20a
4 + 20a + 19a + -21a = 297

Combine like terms: 20a + 19a = 39a
4 + 39a + -21a = 297

Combine like terms: 39a + -21a = 18a
4 + 18a = 297

Solving
4 + 18a = 297

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -4 + 18a = 297 + -4

Combine like terms: 4 + -4 = 0
0 + 18a = 297 + -4
18a = 297 + -4

Combine like terms: 297 + -4 = 293
18a = 293

Divide each side by '18'.
a = 16.27777778

Simplifying
a = 16.27777778

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