-3.78-0.9t=6.7(t+5.9)

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Solution for -3.78-0.9t=6.7(t+5.9) equation: 


Simplifying
-3.78 + -0.9t = 6.7(t + 5.9)

Reorder the terms:
-3.78 + -0.9t = 6.7(5.9 + t)
-3.78 + -0.9t = (5.9 * 6.7 + t * 6.7)
-3.78 + -0.9t = (39.53 + 6.7t)

Solving
-3.78 + -0.9t = 39.53 + 6.7t

Solving for variable 't'.

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

Add '-6.7t' to each side of the equation.
-3.78 + -0.9t + -6.7t = 39.53 + 6.7t + -6.7t

Combine like terms: -0.9t + -6.7t = -7.6t
-3.78 + -7.6t = 39.53 + 6.7t + -6.7t

Combine like terms: 6.7t + -6.7t = 0.0
-3.78 + -7.6t = 39.53 + 0.0
-3.78 + -7.6t = 39.53

Add '3.78' to each side of the equation.
-3.78 + 3.78 + -7.6t = 39.53 + 3.78

Combine like terms: -3.78 + 3.78 = 0.00
0.00 + -7.6t = 39.53 + 3.78
-7.6t = 39.53 + 3.78

Combine like terms: 39.53 + 3.78 = 43.31
-7.6t = 43.31

Divide each side by '-7.6'.
t = -5.698684211

Simplifying
t = -5.698684211

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