80(6+w)=(7-w)145

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Solution for 80(6+w)=(7-w)145 equation: 


Simplifying
80(6 + w) = (7 + -1w) * 145
(6 * 80 + w * 80) = (7 + -1w) * 145
(480 + 80w) = (7 + -1w) * 145

Reorder the terms for easier multiplication:
480 + 80w = 145(7 + -1w)
480 + 80w = (7 * 145 + -1w * 145)
480 + 80w = (1015 + -145w)

Solving
480 + 80w = 1015 + -145w

Solving for variable 'w'.

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

Add '145w' to each side of the equation.
480 + 80w + 145w = 1015 + -145w + 145w

Combine like terms: 80w + 145w = 225w
480 + 225w = 1015 + -145w + 145w

Combine like terms: -145w + 145w = 0
480 + 225w = 1015 + 0
480 + 225w = 1015

Add '-480' to each side of the equation.
480 + -480 + 225w = 1015 + -480

Combine like terms: 480 + -480 = 0
0 + 225w = 1015 + -480
225w = 1015 + -480

Combine like terms: 1015 + -480 = 535
225w = 535

Divide each side by '225'.
w = 2.377777778

Simplifying
w = 2.377777778

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