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

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


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

Reorder the terms:
2w + -7(1 + 3w) = 5(5 + -3w)
2w + (1 * -7 + 3w * -7) = 5(5 + -3w)
2w + (-7 + -21w) = 5(5 + -3w)

Reorder the terms:
-7 + 2w + -21w = 5(5 + -3w)

Combine like terms: 2w + -21w = -19w
-7 + -19w = 5(5 + -3w)
-7 + -19w = (5 * 5 + -3w * 5)
-7 + -19w = (25 + -15w)

Solving
-7 + -19w = 25 + -15w

Solving for variable 'w'.

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

Add '15w' to each side of the equation.
-7 + -19w + 15w = 25 + -15w + 15w

Combine like terms: -19w + 15w = -4w
-7 + -4w = 25 + -15w + 15w

Combine like terms: -15w + 15w = 0
-7 + -4w = 25 + 0
-7 + -4w = 25

Add '7' to each side of the equation.
-7 + 7 + -4w = 25 + 7

Combine like terms: -7 + 7 = 0
0 + -4w = 25 + 7
-4w = 25 + 7

Combine like terms: 25 + 7 = 32
-4w = 32

Divide each side by '-4'.
w = -8

Simplifying
w = -8

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