5(w+6)-4=7w+46

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Solution for 5(w+6)-4=7w+46 equation:


Simplifying
5(w + 6) + -4 = 7w + 46

Reorder the terms:
5(6 + w) + -4 = 7w + 46
(6 * 5 + w * 5) + -4 = 7w + 46
(30 + 5w) + -4 = 7w + 46

Reorder the terms:
30 + -4 + 5w = 7w + 46

Combine like terms: 30 + -4 = 26
26 + 5w = 7w + 46

Reorder the terms:
26 + 5w = 46 + 7w

Solving
26 + 5w = 46 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
26 + 5w + -7w = 46 + 7w + -7w

Combine like terms: 5w + -7w = -2w
26 + -2w = 46 + 7w + -7w

Combine like terms: 7w + -7w = 0
26 + -2w = 46 + 0
26 + -2w = 46

Add '-26' to each side of the equation.
26 + -26 + -2w = 46 + -26

Combine like terms: 26 + -26 = 0
0 + -2w = 46 + -26
-2w = 46 + -26

Combine like terms: 46 + -26 = 20
-2w = 20

Divide each side by '-2'.
w = -10

Simplifying
w = -10

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