-5.3(2t+6)-2.8(3t-5)=

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Solution for -5.3(2t+6)-2.8(3t-5)= equation: 


Simplifying
-5.3(2t + 6) + -2.8(3t + -5) = 0

Reorder the terms:
-5.3(6 + 2t) + -2.8(3t + -5) = 0
(6 * -5.3 + 2t * -5.3) + -2.8(3t + -5) = 0
(-31.8 + -10.6t) + -2.8(3t + -5) = 0

Reorder the terms:
-31.8 + -10.6t + -2.8(-5 + 3t) = 0
-31.8 + -10.6t + (-5 * -2.8 + 3t * -2.8) = 0
-31.8 + -10.6t + (14 + -8.4t) = 0

Reorder the terms:
-31.8 + 14 + -10.6t + -8.4t = 0

Combine like terms: -31.8 + 14 = -17.8
-17.8 + -10.6t + -8.4t = 0

Combine like terms: -10.6t + -8.4t = -19t
-17.8 + -19t = 0

Solving
-17.8 + -19t = 0

Solving for variable 't'.

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

Add '17.8' to each side of the equation.
-17.8 + 17.8 + -19t = 0 + 17.8

Combine like terms: -17.8 + 17.8 = 0.0
0.0 + -19t = 0 + 17.8
-19t = 0 + 17.8

Combine like terms: 0 + 17.8 = 17.8
-19t = 17.8

Divide each side by '-19'.
t = -0.9368421053

Simplifying
t = -0.9368421053

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