2w+4-3(-5w-1)=7(w-1)

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Solution for 2w+4-3(-5w-1)=7(w-1) equation:


Simplifying
2w + 4 + -3(-5w + -1) = 7(w + -1)

Reorder the terms:
2w + 4 + -3(-1 + -5w) = 7(w + -1)
2w + 4 + (-1 * -3 + -5w * -3) = 7(w + -1)
2w + 4 + (3 + 15w) = 7(w + -1)

Reorder the terms:
4 + 3 + 2w + 15w = 7(w + -1)

Combine like terms: 4 + 3 = 7
7 + 2w + 15w = 7(w + -1)

Combine like terms: 2w + 15w = 17w
7 + 17w = 7(w + -1)

Reorder the terms:
7 + 17w = 7(-1 + w)
7 + 17w = (-1 * 7 + w * 7)
7 + 17w = (-7 + 7w)

Solving
7 + 17w = -7 + 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.
7 + 17w + -7w = -7 + 7w + -7w

Combine like terms: 17w + -7w = 10w
7 + 10w = -7 + 7w + -7w

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

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

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

Combine like terms: -7 + -7 = -14
10w = -14

Divide each side by '10'.
w = -1.4

Simplifying
w = -1.4

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