7(a+1)-11=2w+(9+7w)

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Solution for 7(a+1)-11=2w+(9+7w) equation:


Simplifying
7(a + 1) + -11 = 2w + (9 + 7w)

Reorder the terms:
7(1 + a) + -11 = 2w + (9 + 7w)
(1 * 7 + a * 7) + -11 = 2w + (9 + 7w)
(7 + 7a) + -11 = 2w + (9 + 7w)

Reorder the terms:
7 + -11 + 7a = 2w + (9 + 7w)

Combine like terms: 7 + -11 = -4
-4 + 7a = 2w + (9 + 7w)

Remove parenthesis around (9 + 7w)
-4 + 7a = 2w + 9 + 7w

Reorder the terms:
-4 + 7a = 9 + 2w + 7w

Combine like terms: 2w + 7w = 9w
-4 + 7a = 9 + 9w

Solving
-4 + 7a = 9 + 9w

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 + 7a = 9 + 4 + 9w

Combine like terms: -4 + 4 = 0
0 + 7a = 9 + 4 + 9w
7a = 9 + 4 + 9w

Combine like terms: 9 + 4 = 13
7a = 13 + 9w

Divide each side by '7'.
a = 1.857142857 + 1.285714286w

Simplifying
a = 1.857142857 + 1.285714286w

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