16(w+80)=40(w-472)

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Solution for 16(w+80)=40(w-472) equation: 


Simplifying
16(w + 80) = 40(w + -472)

Reorder the terms:
16(80 + w) = 40(w + -472)
(80 * 16 + w * 16) = 40(w + -472)
(1280 + 16w) = 40(w + -472)

Reorder the terms:
1280 + 16w = 40(-472 + w)
1280 + 16w = (-472 * 40 + w * 40)
1280 + 16w = (-18880 + 40w)

Solving
1280 + 16w = -18880 + 40w

Solving for variable 'w'.

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

Add '-40w' to each side of the equation.
1280 + 16w + -40w = -18880 + 40w + -40w

Combine like terms: 16w + -40w = -24w
1280 + -24w = -18880 + 40w + -40w

Combine like terms: 40w + -40w = 0
1280 + -24w = -18880 + 0
1280 + -24w = -18880

Add '-1280' to each side of the equation.
1280 + -1280 + -24w = -18880 + -1280

Combine like terms: 1280 + -1280 = 0
0 + -24w = -18880 + -1280
-24w = -18880 + -1280

Combine like terms: -18880 + -1280 = -20160
-24w = -20160

Divide each side by '-24'.
w = 840

Simplifying
w = 840

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