17.4=3.8(t-14)+6

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Solution for 17.4=3.8(t-14)+6 equation: 


Simplifying
17.4 = 3.8(t + -14) + 6

Reorder the terms:
17.4 = 3.8(-14 + t) + 6
17.4 = (-14 * 3.8 + t * 3.8) + 6
17.4 = (-53.2 + 3.8t) + 6

Reorder the terms:
17.4 = -53.2 + 6 + 3.8t

Combine like terms: -53.2 + 6 = -47.2
17.4 = -47.2 + 3.8t

Solving
17.4 = -47.2 + 3.8t

Solving for variable 't'.

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

Add '-3.8t' to each side of the equation.
17.4 + -3.8t = -47.2 + 3.8t + -3.8t

Combine like terms: 3.8t + -3.8t = 0.0
17.4 + -3.8t = -47.2 + 0.0
17.4 + -3.8t = -47.2

Add '-17.4' to each side of the equation.
17.4 + -17.4 + -3.8t = -47.2 + -17.4

Combine like terms: 17.4 + -17.4 = 0.0
0.0 + -3.8t = -47.2 + -17.4
-3.8t = -47.2 + -17.4

Combine like terms: -47.2 + -17.4 = -64.6
-3.8t = -64.6

Divide each side by '-3.8'.
t = 17

Simplifying
t = 17

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