2w+5=-14+4(4w-10)

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Solution for 2w+5=-14+4(4w-10) equation:


Simplifying
2w + 5 = -14 + 4(4w + -10)

Reorder the terms:
5 + 2w = -14 + 4(4w + -10)

Reorder the terms:
5 + 2w = -14 + 4(-10 + 4w)
5 + 2w = -14 + (-10 * 4 + 4w * 4)
5 + 2w = -14 + (-40 + 16w)

Combine like terms: -14 + -40 = -54
5 + 2w = -54 + 16w

Solving
5 + 2w = -54 + 16w

Solving for variable 'w'.

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

Add '-16w' to each side of the equation.
5 + 2w + -16w = -54 + 16w + -16w

Combine like terms: 2w + -16w = -14w
5 + -14w = -54 + 16w + -16w

Combine like terms: 16w + -16w = 0
5 + -14w = -54 + 0
5 + -14w = -54

Add '-5' to each side of the equation.
5 + -5 + -14w = -54 + -5

Combine like terms: 5 + -5 = 0
0 + -14w = -54 + -5
-14w = -54 + -5

Combine like terms: -54 + -5 = -59
-14w = -59

Divide each side by '-14'.
w = 4.214285714

Simplifying
w = 4.214285714

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