5(w+6)-14=28-2(10w-4)

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Solution for 5(w+6)-14=28-2(10w-4) equation:


Simplifying
5(w + 6) + -14 = 28 + -2(10w + -4)

Reorder the terms:
5(6 + w) + -14 = 28 + -2(10w + -4)
(6 * 5 + w * 5) + -14 = 28 + -2(10w + -4)
(30 + 5w) + -14 = 28 + -2(10w + -4)

Reorder the terms:
30 + -14 + 5w = 28 + -2(10w + -4)

Combine like terms: 30 + -14 = 16
16 + 5w = 28 + -2(10w + -4)

Reorder the terms:
16 + 5w = 28 + -2(-4 + 10w)
16 + 5w = 28 + (-4 * -2 + 10w * -2)
16 + 5w = 28 + (8 + -20w)

Combine like terms: 28 + 8 = 36
16 + 5w = 36 + -20w

Solving
16 + 5w = 36 + -20w

Solving for variable 'w'.

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

Add '20w' to each side of the equation.
16 + 5w + 20w = 36 + -20w + 20w

Combine like terms: 5w + 20w = 25w
16 + 25w = 36 + -20w + 20w

Combine like terms: -20w + 20w = 0
16 + 25w = 36 + 0
16 + 25w = 36

Add '-16' to each side of the equation.
16 + -16 + 25w = 36 + -16

Combine like terms: 16 + -16 = 0
0 + 25w = 36 + -16
25w = 36 + -16

Combine like terms: 36 + -16 = 20
25w = 20

Divide each side by '25'.
w = 0.8

Simplifying
w = 0.8

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