3(t+3.7)=10t-13.4

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Solution for 3(t+3.7)=10t-13.4 equation: 


Simplifying
3(t + 3.7) = 10t + -13.4

Reorder the terms:
3(3.7 + t) = 10t + -13.4
(3.7 * 3 + t * 3) = 10t + -13.4
(11.1 + 3t) = 10t + -13.4

Reorder the terms:
11.1 + 3t = -13.4 + 10t

Solving
11.1 + 3t = -13.4 + 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
11.1 + 3t + -10t = -13.4 + 10t + -10t

Combine like terms: 3t + -10t = -7t
11.1 + -7t = -13.4 + 10t + -10t

Combine like terms: 10t + -10t = 0
11.1 + -7t = -13.4 + 0
11.1 + -7t = -13.4

Add '-11.1' to each side of the equation.
11.1 + -11.1 + -7t = -13.4 + -11.1

Combine like terms: 11.1 + -11.1 = 0.0
0.0 + -7t = -13.4 + -11.1
-7t = -13.4 + -11.1

Combine like terms: -13.4 + -11.1 = -24.5
-7t = -24.5

Divide each side by '-7'.
t = 3.5

Simplifying
t = 3.5

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