(-6.5t+15)=(-9.7t+43.8)

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Solution for (-6.5t+15)=(-9.7t+43.8) equation:


Simplifying
(-6.5t + 15) = (-9.7t + 43.8)

Reorder the terms:
(15 + -6.5t) = (-9.7t + 43.8)

Remove parenthesis around (15 + -6.5t)
15 + -6.5t = (-9.7t + 43.8)

Reorder the terms:
15 + -6.5t = (43.8 + -9.7t)

Remove parenthesis around (43.8 + -9.7t)
15 + -6.5t = 43.8 + -9.7t

Solving
15 + -6.5t = 43.8 + -9.7t

Solving for variable 't'.

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

Add '9.7t' to each side of the equation.
15 + -6.5t + 9.7t = 43.8 + -9.7t + 9.7t

Combine like terms: -6.5t + 9.7t = 3.2t
15 + 3.2t = 43.8 + -9.7t + 9.7t

Combine like terms: -9.7t + 9.7t = 0.0
15 + 3.2t = 43.8 + 0.0
15 + 3.2t = 43.8

Add '-15' to each side of the equation.
15 + -15 + 3.2t = 43.8 + -15

Combine like terms: 15 + -15 = 0
0 + 3.2t = 43.8 + -15
3.2t = 43.8 + -15

Combine like terms: 43.8 + -15 = 28.8
3.2t = 28.8

Divide each side by '3.2'.
t = 9

Simplifying
t = 9

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