4w-1=7(w+2)

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


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

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

Reorder the terms:
-1 + 4w = 7(2 + w)
-1 + 4w = (2 * 7 + w * 7)
-1 + 4w = (14 + 7w)

Solving
-1 + 4w = 14 + 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.
-1 + 4w + -7w = 14 + 7w + -7w

Combine like terms: 4w + -7w = -3w
-1 + -3w = 14 + 7w + -7w

Combine like terms: 7w + -7w = 0
-1 + -3w = 14 + 0
-1 + -3w = 14

Add '1' to each side of the equation.
-1 + 1 + -3w = 14 + 1

Combine like terms: -1 + 1 = 0
0 + -3w = 14 + 1
-3w = 14 + 1

Combine like terms: 14 + 1 = 15
-3w = 15

Divide each side by '-3'.
w = -5

Simplifying
w = -5

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