7(w+1)=5(2w+3)+1

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Solution for 7(w+1)=5(2w+3)+1 equation:


Simplifying
7(w + 1) = 5(2w + 3) + 1

Reorder the terms:
7(1 + w) = 5(2w + 3) + 1
(1 * 7 + w * 7) = 5(2w + 3) + 1
(7 + 7w) = 5(2w + 3) + 1

Reorder the terms:
7 + 7w = 5(3 + 2w) + 1
7 + 7w = (3 * 5 + 2w * 5) + 1
7 + 7w = (15 + 10w) + 1

Reorder the terms:
7 + 7w = 15 + 1 + 10w

Combine like terms: 15 + 1 = 16
7 + 7w = 16 + 10w

Solving
7 + 7w = 16 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
7 + 7w + -10w = 16 + 10w + -10w

Combine like terms: 7w + -10w = -3w
7 + -3w = 16 + 10w + -10w

Combine like terms: 10w + -10w = 0
7 + -3w = 16 + 0
7 + -3w = 16

Add '-7' to each side of the equation.
7 + -7 + -3w = 16 + -7

Combine like terms: 7 + -7 = 0
0 + -3w = 16 + -7
-3w = 16 + -7

Combine like terms: 16 + -7 = 9
-3w = 9

Divide each side by '-3'.
w = -3

Simplifying
w = -3

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