2[7(-3w+10)]-18=5(4+w)

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Solution for 2[7(-3w+10)]-18=5(4+w) equation:


Simplifying
2[7(-3w + 10)] + -18 = 5(4 + w)

Reorder the terms:
2[7(10 + -3w)] + -18 = 5(4 + w)
2[(10 * 7 + -3w * 7)] + -18 = 5(4 + w)
2[(70 + -21w)] + -18 = 5(4 + w)
[70 * 2 + -21w * 2] + -18 = 5(4 + w)
[140 + -42w] + -18 = 5(4 + w)

Reorder the terms:
140 + -18 + -42w = 5(4 + w)

Combine like terms: 140 + -18 = 122
122 + -42w = 5(4 + w)
122 + -42w = (4 * 5 + w * 5)
122 + -42w = (20 + 5w)

Solving
122 + -42w = 20 + 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.
122 + -42w + -5w = 20 + 5w + -5w

Combine like terms: -42w + -5w = -47w
122 + -47w = 20 + 5w + -5w

Combine like terms: 5w + -5w = 0
122 + -47w = 20 + 0
122 + -47w = 20

Add '-122' to each side of the equation.
122 + -122 + -47w = 20 + -122

Combine like terms: 122 + -122 = 0
0 + -47w = 20 + -122
-47w = 20 + -122

Combine like terms: 20 + -122 = -102
-47w = -102

Divide each side by '-47'.
w = 2.170212766

Simplifying
w = 2.170212766

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