15.4=14.2t-4(3.7t-4)

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Solution for 15.4=14.2t-4(3.7t-4) equation: 


Simplifying
15.4 = 14.2t + -4(3.7t + -4)

Reorder the terms:
15.4 = 14.2t + -4(-4 + 3.7t)
15.4 = 14.2t + (-4 * -4 + 3.7t * -4)
15.4 = 14.2t + (16 + -14.8t)

Reorder the terms:
15.4 = 16 + 14.2t + -14.8t

Combine like terms: 14.2t + -14.8t = -0.6t
15.4 = 16 + -0.6t

Solving
15.4 = 16 + -0.6t

Solving for variable 't'.

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

Add '0.6t' to each side of the equation.
15.4 + 0.6t = 16 + -0.6t + 0.6t

Combine like terms: -0.6t + 0.6t = 0.0
15.4 + 0.6t = 16 + 0.0
15.4 + 0.6t = 16

Add '-15.4' to each side of the equation.
15.4 + -15.4 + 0.6t = 16 + -15.4

Combine like terms: 15.4 + -15.4 = 0.0
0.0 + 0.6t = 16 + -15.4
0.6t = 16 + -15.4

Combine like terms: 16 + -15.4 = 0.6
0.6t = 0.6

Divide each side by '0.6'.
t = 1

Simplifying
t = 1

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