7-9(5t-4)=-47

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Solution for 7-9(5t-4)=-47 equation: 


Simplifying
7 + -9(5t + -4) = -47

Reorder the terms:
7 + -9(-4 + 5t) = -47
7 + (-4 * -9 + 5t * -9) = -47
7 + (36 + -45t) = -47

Combine like terms: 7 + 36 = 43
43 + -45t = -47

Solving
43 + -45t = -47

Solving for variable 't'.

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

Add '-43' to each side of the equation.
43 + -43 + -45t = -47 + -43

Combine like terms: 43 + -43 = 0
0 + -45t = -47 + -43
-45t = -47 + -43

Combine like terms: -47 + -43 = -90
-45t = -90

Divide each side by '-45'.
t = 2

Simplifying
t = 2

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