3(w-5)+4(w-25)=4

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Solution for 3(w-5)+4(w-25)=4 equation:


Simplifying
3(w + -5) + 4(w + -25) = 4

Reorder the terms:
3(-5 + w) + 4(w + -25) = 4
(-5 * 3 + w * 3) + 4(w + -25) = 4
(-15 + 3w) + 4(w + -25) = 4

Reorder the terms:
-15 + 3w + 4(-25 + w) = 4
-15 + 3w + (-25 * 4 + w * 4) = 4
-15 + 3w + (-100 + 4w) = 4

Reorder the terms:
-15 + -100 + 3w + 4w = 4

Combine like terms: -15 + -100 = -115
-115 + 3w + 4w = 4

Combine like terms: 3w + 4w = 7w
-115 + 7w = 4

Solving
-115 + 7w = 4

Solving for variable 'w'.

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

Add '115' to each side of the equation.
-115 + 115 + 7w = 4 + 115

Combine like terms: -115 + 115 = 0
0 + 7w = 4 + 115
7w = 4 + 115

Combine like terms: 4 + 115 = 119
7w = 119

Divide each side by '7'.
w = 17

Simplifying
w = 17

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