(7t-2)-(3t+7)=3(7-3t)

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Solution for (7t-2)-(3t+7)=3(7-3t) equation:


Simplifying
(7t + -2) + -1(3t + 7) = 3(7 + -3t)

Reorder the terms:
(-2 + 7t) + -1(3t + 7) = 3(7 + -3t)

Remove parenthesis around (-2 + 7t)
-2 + 7t + -1(3t + 7) = 3(7 + -3t)

Reorder the terms:
-2 + 7t + -1(7 + 3t) = 3(7 + -3t)
-2 + 7t + (7 * -1 + 3t * -1) = 3(7 + -3t)
-2 + 7t + (-7 + -3t) = 3(7 + -3t)

Reorder the terms:
-2 + -7 + 7t + -3t = 3(7 + -3t)

Combine like terms: -2 + -7 = -9
-9 + 7t + -3t = 3(7 + -3t)

Combine like terms: 7t + -3t = 4t
-9 + 4t = 3(7 + -3t)
-9 + 4t = (7 * 3 + -3t * 3)
-9 + 4t = (21 + -9t)

Solving
-9 + 4t = 21 + -9t

Solving for variable 't'.

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

Add '9t' to each side of the equation.
-9 + 4t + 9t = 21 + -9t + 9t

Combine like terms: 4t + 9t = 13t
-9 + 13t = 21 + -9t + 9t

Combine like terms: -9t + 9t = 0
-9 + 13t = 21 + 0
-9 + 13t = 21

Add '9' to each side of the equation.
-9 + 9 + 13t = 21 + 9

Combine like terms: -9 + 9 = 0
0 + 13t = 21 + 9
13t = 21 + 9

Combine like terms: 21 + 9 = 30
13t = 30

Divide each side by '13'.
t = 2.307692308

Simplifying
t = 2.307692308

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