6.9t+2.4=-5.2t-33.9

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Solution for 6.9t+2.4=-5.2t-33.9 equation: 


Simplifying
6.9t + 2.4 = -5.2t + -33.9

Reorder the terms:
2.4 + 6.9t = -5.2t + -33.9

Reorder the terms:
2.4 + 6.9t = -33.9 + -5.2t

Solving
2.4 + 6.9t = -33.9 + -5.2t

Solving for variable 't'.

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

Add '5.2t' to each side of the equation.
2.4 + 6.9t + 5.2t = -33.9 + -5.2t + 5.2t

Combine like terms: 6.9t + 5.2t = 12.1t
2.4 + 12.1t = -33.9 + -5.2t + 5.2t

Combine like terms: -5.2t + 5.2t = 0.0
2.4 + 12.1t = -33.9 + 0.0
2.4 + 12.1t = -33.9

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 12.1t = -33.9 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 12.1t = -33.9 + -2.4
12.1t = -33.9 + -2.4

Combine like terms: -33.9 + -2.4 = -36.3
12.1t = -36.3

Divide each side by '12.1'.
t = -3

Simplifying
t = -3

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