7(t+3)=2t-4

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Solution for 7(t+3)=2t-4 equation:


Simplifying
7(t + 3) = 2t + -4

Reorder the terms:
7(3 + t) = 2t + -4
(3 * 7 + t * 7) = 2t + -4
(21 + 7t) = 2t + -4

Reorder the terms:
21 + 7t = -4 + 2t

Solving
21 + 7t = -4 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
21 + 7t + -2t = -4 + 2t + -2t

Combine like terms: 7t + -2t = 5t
21 + 5t = -4 + 2t + -2t

Combine like terms: 2t + -2t = 0
21 + 5t = -4 + 0
21 + 5t = -4

Add '-21' to each side of the equation.
21 + -21 + 5t = -4 + -21

Combine like terms: 21 + -21 = 0
0 + 5t = -4 + -21
5t = -4 + -21

Combine like terms: -4 + -21 = -25
5t = -25

Divide each side by '5'.
t = -5

Simplifying
t = -5

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