7.1t+34.4=5(1.2t+6)

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Solution for 7.1t+34.4=5(1.2t+6) equation: 


Simplifying
7.1t + 34.4 = 5(1.2t + 6)

Reorder the terms:
34.4 + 7.1t = 5(1.2t + 6)

Reorder the terms:
34.4 + 7.1t = 5(6 + 1.2t)
34.4 + 7.1t = (6 * 5 + 1.2t * 5)
34.4 + 7.1t = (30 + 6t)

Solving
34.4 + 7.1t = 30 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
34.4 + 7.1t + -6t = 30 + 6t + -6t

Combine like terms: 7.1t + -6t = 1.1t
34.4 + 1.1t = 30 + 6t + -6t

Combine like terms: 6t + -6t = 0
34.4 + 1.1t = 30 + 0
34.4 + 1.1t = 30

Add '-34.4' to each side of the equation.
34.4 + -34.4 + 1.1t = 30 + -34.4

Combine like terms: 34.4 + -34.4 = 0.0
0.0 + 1.1t = 30 + -34.4
1.1t = 30 + -34.4

Combine like terms: 30 + -34.4 = -4.4
1.1t = -4.4

Divide each side by '1.1'.
t = -4

Simplifying
t = -4

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