(5w+24)+(-2t-16)=-22

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Solution for (5w+24)+(-2t-16)=-22 equation: 


Simplifying
(5w + 24) + (-2t + -16) = -22

Reorder the terms:
(24 + 5w) + (-2t + -16) = -22

Remove parenthesis around (24 + 5w)
24 + 5w + (-2t + -16) = -22

Reorder the terms:
24 + 5w + (-16 + -2t) = -22

Remove parenthesis around (-16 + -2t)
24 + 5w + -16 + -2t = -22

Reorder the terms:
24 + -16 + -2t + 5w = -22

Combine like terms: 24 + -16 = 8
8 + -2t + 5w = -22

Solving
8 + -2t + 5w = -22

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -2t + -8 + 5w = -22 + -8

Reorder the terms:
8 + -8 + -2t + 5w = -22 + -8

Combine like terms: 8 + -8 = 0
0 + -2t + 5w = -22 + -8
-2t + 5w = -22 + -8

Combine like terms: -22 + -8 = -30
-2t + 5w = -30

Add '-5w' to each side of the equation.
-2t + 5w + -5w = -30 + -5w

Combine like terms: 5w + -5w = 0
-2t + 0 = -30 + -5w
-2t = -30 + -5w

Divide each side by '-2'.
t = 15 + 2.5w

Simplifying
t = 15 + 2.5w

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