4t+3(10.1+-0.6t)=38

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Solution for 4t+3(10.1+-0.6t)=38 equation:


Simplifying
4t + 3(10.1 + -0.6t) = 38
4t + (10.1 * 3 + -0.6t * 3) = 38
4t + (30.3 + -1.8t) = 38

Reorder the terms:
30.3 + 4t + -1.8t = 38

Combine like terms: 4t + -1.8t = 2.2t
30.3 + 2.2t = 38

Solving
30.3 + 2.2t = 38

Solving for variable 't'.

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

Add '-30.3' to each side of the equation.
30.3 + -30.3 + 2.2t = 38 + -30.3

Combine like terms: 30.3 + -30.3 = 0.0
0.0 + 2.2t = 38 + -30.3
2.2t = 38 + -30.3

Combine like terms: 38 + -30.3 = 7.7
2.2t = 7.7

Divide each side by '2.2'.
t = 3.5

Simplifying
t = 3.5

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