3(7+2w)=0.5(-2-10w)

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Solution for 3(7+2w)=0.5(-2-10w) equation:


Simplifying
3(7 + 2w) = 0.5(-2 + -10w)
(7 * 3 + 2w * 3) = 0.5(-2 + -10w)
(21 + 6w) = 0.5(-2 + -10w)
21 + 6w = (-2 * 0.5 + -10w * 0.5)
21 + 6w = (-1 + -5w)

Solving
21 + 6w = -1 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
21 + 6w + 5w = -1 + -5w + 5w

Combine like terms: 6w + 5w = 11w
21 + 11w = -1 + -5w + 5w

Combine like terms: -5w + 5w = 0
21 + 11w = -1 + 0
21 + 11w = -1

Add '-21' to each side of the equation.
21 + -21 + 11w = -1 + -21

Combine like terms: 21 + -21 = 0
0 + 11w = -1 + -21
11w = -1 + -21

Combine like terms: -1 + -21 = -22
11w = -22

Divide each side by '11'.
w = -2

Simplifying
w = -2

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