how do i show my work for -9(t-2)=4(t-15)

Answer 1

first, remove the parens:
-9t+18 = 4t-60
Now finish it off

Answer 2

- 9 ( t - 2 ) = 4 ( t - 15 )

- 9 • t - 9 • ( - 2 ) = 4 • t + 4 • ( - 15 )

- 9 t + 18 = 4 t - 60

Subtract 4 t to both sides.

- 13 t + 18 = - 60

Subtract 18 to both sides.

- 13 t = - 78

t = - 78 / - 13

t = 6

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Check result.

- 9 ( t - 2 ) = 4 ( t - 15 )

- 9 ( 6 - 2 ) = 4 ( 6 - 15 )

- 9 • 4 = 4 • ( - 9 )

- 36 = - 36

Correct
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