28-2(w+1)=9w-2(9+3w)

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Solution for 28-2(w+1)=9w-2(9+3w) equation:


Simplifying
28 + -2(w + 1) = 9w + -2(9 + 3w)

Reorder the terms:
28 + -2(1 + w) = 9w + -2(9 + 3w)
28 + (1 * -2 + w * -2) = 9w + -2(9 + 3w)
28 + (-2 + -2w) = 9w + -2(9 + 3w)

Combine like terms: 28 + -2 = 26
26 + -2w = 9w + -2(9 + 3w)
26 + -2w = 9w + (9 * -2 + 3w * -2)
26 + -2w = 9w + (-18 + -6w)

Reorder the terms:
26 + -2w = -18 + 9w + -6w

Combine like terms: 9w + -6w = 3w
26 + -2w = -18 + 3w

Solving
26 + -2w = -18 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
26 + -2w + -3w = -18 + 3w + -3w

Combine like terms: -2w + -3w = -5w
26 + -5w = -18 + 3w + -3w

Combine like terms: 3w + -3w = 0
26 + -5w = -18 + 0
26 + -5w = -18

Add '-26' to each side of the equation.
26 + -26 + -5w = -18 + -26

Combine like terms: 26 + -26 = 0
0 + -5w = -18 + -26
-5w = -18 + -26

Combine like terms: -18 + -26 = -44
-5w = -44

Divide each side by '-5'.
w = 8.8

Simplifying
w = 8.8

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