5(5w+5)+3w=7(w+8)-4

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Solution for 5(5w+5)+3w=7(w+8)-4 equation:


Simplifying
5(5w + 5) + 3w = 7(w + 8) + -4

Reorder the terms:
5(5 + 5w) + 3w = 7(w + 8) + -4
(5 * 5 + 5w * 5) + 3w = 7(w + 8) + -4
(25 + 25w) + 3w = 7(w + 8) + -4

Combine like terms: 25w + 3w = 28w
25 + 28w = 7(w + 8) + -4

Reorder the terms:
25 + 28w = 7(8 + w) + -4
25 + 28w = (8 * 7 + w * 7) + -4
25 + 28w = (56 + 7w) + -4

Reorder the terms:
25 + 28w = 56 + -4 + 7w

Combine like terms: 56 + -4 = 52
25 + 28w = 52 + 7w

Solving
25 + 28w = 52 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
25 + 28w + -7w = 52 + 7w + -7w

Combine like terms: 28w + -7w = 21w
25 + 21w = 52 + 7w + -7w

Combine like terms: 7w + -7w = 0
25 + 21w = 52 + 0
25 + 21w = 52

Add '-25' to each side of the equation.
25 + -25 + 21w = 52 + -25

Combine like terms: 25 + -25 = 0
0 + 21w = 52 + -25
21w = 52 + -25

Combine like terms: 52 + -25 = 27
21w = 27

Divide each side by '21'.
w = 1.285714286

Simplifying
w = 1.285714286

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