14-1(9t-2)=-t+30

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Solution for 14-1(9t-2)=-t+30 equation:


Simplifying
14 + -1(9t + -2) = -1t + 30

Reorder the terms:
14 + -1(-2 + 9t) = -1t + 30
14 + (-2 * -1 + 9t * -1) = -1t + 30
14 + (2 + -9t) = -1t + 30

Combine like terms: 14 + 2 = 16
16 + -9t = -1t + 30

Reorder the terms:
16 + -9t = 30 + -1t

Solving
16 + -9t = 30 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
16 + -9t + t = 30 + -1t + t

Combine like terms: -9t + t = -8t
16 + -8t = 30 + -1t + t

Combine like terms: -1t + t = 0
16 + -8t = 30 + 0
16 + -8t = 30

Add '-16' to each side of the equation.
16 + -16 + -8t = 30 + -16

Combine like terms: 16 + -16 = 0
0 + -8t = 30 + -16
-8t = 30 + -16

Combine like terms: 30 + -16 = 14
-8t = 14

Divide each side by '-8'.
t = -1.75

Simplifying
t = -1.75

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