-6.9(2t+-6)-2.6(3t+-5)=

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Solution for -6.9(2t+-6)-2.6(3t+-5)= equation: 


Simplifying
-6.9(2t + -6) + -2.6(3t + -5) = 0

Reorder the terms:
-6.9(-6 + 2t) + -2.6(3t + -5) = 0
(-6 * -6.9 + 2t * -6.9) + -2.6(3t + -5) = 0
(41.4 + -13.8t) + -2.6(3t + -5) = 0

Reorder the terms:
41.4 + -13.8t + -2.6(-5 + 3t) = 0
41.4 + -13.8t + (-5 * -2.6 + 3t * -2.6) = 0
41.4 + -13.8t + (13 + -7.8t) = 0

Reorder the terms:
41.4 + 13 + -13.8t + -7.8t = 0

Combine like terms: 41.4 + 13 = 54.4
54.4 + -13.8t + -7.8t = 0

Combine like terms: -13.8t + -7.8t = -21.6t
54.4 + -21.6t = 0

Solving
54.4 + -21.6t = 0

Solving for variable 't'.

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

Add '-54.4' to each side of the equation.
54.4 + -54.4 + -21.6t = 0 + -54.4

Combine like terms: 54.4 + -54.4 = 0.0
0.0 + -21.6t = 0 + -54.4
-21.6t = 0 + -54.4

Combine like terms: 0 + -54.4 = -54.4
-21.6t = -54.4

Divide each side by '-21.6'.
t = 2.518518519

Simplifying
t = 2.518518519

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