3t+48(2t-6)=2+14t

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Solution for 3t+48(2t-6)=2+14t equation:


Simplifying
3t + 48(2t + -6) = 2 + 14t

Reorder the terms:
3t + 48(-6 + 2t) = 2 + 14t
3t + (-6 * 48 + 2t * 48) = 2 + 14t
3t + (-288 + 96t) = 2 + 14t

Reorder the terms:
-288 + 3t + 96t = 2 + 14t

Combine like terms: 3t + 96t = 99t
-288 + 99t = 2 + 14t

Solving
-288 + 99t = 2 + 14t

Solving for variable 't'.

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

Add '-14t' to each side of the equation.
-288 + 99t + -14t = 2 + 14t + -14t

Combine like terms: 99t + -14t = 85t
-288 + 85t = 2 + 14t + -14t

Combine like terms: 14t + -14t = 0
-288 + 85t = 2 + 0
-288 + 85t = 2

Add '288' to each side of the equation.
-288 + 288 + 85t = 2 + 288

Combine like terms: -288 + 288 = 0
0 + 85t = 2 + 288
85t = 2 + 288

Combine like terms: 2 + 288 = 290
85t = 290

Divide each side by '85'.
t = 3.411764706

Simplifying
t = 3.411764706

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