1=9t-(2t-8)

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Solution for 1=9t-(2t-8) equation:


Simplifying
1 = 9t + -1(2t + -8)

Reorder the terms:
1 = 9t + -1(-8 + 2t)
1 = 9t + (-8 * -1 + 2t * -1)
1 = 9t + (8 + -2t)

Reorder the terms:
1 = 8 + 9t + -2t

Combine like terms: 9t + -2t = 7t
1 = 8 + 7t

Solving
1 = 8 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
1 + -7t = 8 + 7t + -7t

Combine like terms: 7t + -7t = 0
1 + -7t = 8 + 0
1 + -7t = 8

Add '-1' to each side of the equation.
1 + -1 + -7t = 8 + -1

Combine like terms: 1 + -1 = 0
0 + -7t = 8 + -1
-7t = 8 + -1

Combine like terms: 8 + -1 = 7
-7t = 7

Divide each side by '-7'.
t = -1

Simplifying
t = -1

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