9t+27+-16t-8=8t-40+9

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Solution for 9t+27+-16t-8=8t-40+9 equation:


Simplifying
9t + 27 + -16t + -8 = 8t + -40 + 9

Reorder the terms:
27 + -8 + 9t + -16t = 8t + -40 + 9

Combine like terms: 27 + -8 = 19
19 + 9t + -16t = 8t + -40 + 9

Combine like terms: 9t + -16t = -7t
19 + -7t = 8t + -40 + 9

Reorder the terms:
19 + -7t = -40 + 9 + 8t

Combine like terms: -40 + 9 = -31
19 + -7t = -31 + 8t

Solving
19 + -7t = -31 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
19 + -7t + -8t = -31 + 8t + -8t

Combine like terms: -7t + -8t = -15t
19 + -15t = -31 + 8t + -8t

Combine like terms: 8t + -8t = 0
19 + -15t = -31 + 0
19 + -15t = -31

Add '-19' to each side of the equation.
19 + -19 + -15t = -31 + -19

Combine like terms: 19 + -19 = 0
0 + -15t = -31 + -19
-15t = -31 + -19

Combine like terms: -31 + -19 = -50
-15t = -50

Divide each side by '-15'.
t = 3.333333333

Simplifying
t = 3.333333333

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