0.4t+3(1.2t+0.9)=21.1

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Solution for 0.4t+3(1.2t+0.9)=21.1 equation: 


Simplifying
0.4t + 3(1.2t + 0.9) = 21.1

Reorder the terms:
0.4t + 3(0.9 + 1.2t) = 21.1
0.4t + (0.9 * 3 + 1.2t * 3) = 21.1
0.4t + (2.7 + 3.6t) = 21.1

Reorder the terms:
2.7 + 0.4t + 3.6t = 21.1

Combine like terms: 0.4t + 3.6t = 4t
2.7 + 4t = 21.1

Solving
2.7 + 4t = 21.1

Solving for variable 't'.

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

Add '-2.7' to each side of the equation.
2.7 + -2.7 + 4t = 21.1 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + 4t = 21.1 + -2.7
4t = 21.1 + -2.7

Combine like terms: 21.1 + -2.7 = 18.4
4t = 18.4

Divide each side by '4'.
t = 4.6

Simplifying
t = 4.6

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