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

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Solution for 7(t-3)=7(3t+1) equation:


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

Reorder the terms:
7(-3 + t) = 7(3t + 1)
(-3 * 7 + t * 7) = 7(3t + 1)
(-21 + 7t) = 7(3t + 1)

Reorder the terms:
-21 + 7t = 7(1 + 3t)
-21 + 7t = (1 * 7 + 3t * 7)
-21 + 7t = (7 + 21t)

Solving
-21 + 7t = 7 + 21t

Solving for variable 't'.

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

Add '-21t' to each side of the equation.
-21 + 7t + -21t = 7 + 21t + -21t

Combine like terms: 7t + -21t = -14t
-21 + -14t = 7 + 21t + -21t

Combine like terms: 21t + -21t = 0
-21 + -14t = 7 + 0
-21 + -14t = 7

Add '21' to each side of the equation.
-21 + 21 + -14t = 7 + 21

Combine like terms: -21 + 21 = 0
0 + -14t = 7 + 21
-14t = 7 + 21

Combine like terms: 7 + 21 = 28
-14t = 28

Divide each side by '-14'.
t = -2

Simplifying
t = -2

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