7(t-3)+1=(t+4)

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Solution for 7(t-3)+1=(t+4) equation:


Simplifying
7(t + -3) + 1 = (t + 4)

Reorder the terms:
7(-3 + t) + 1 = (t + 4)
(-3 * 7 + t * 7) + 1 = (t + 4)
(-21 + 7t) + 1 = (t + 4)

Reorder the terms:
-21 + 1 + 7t = (t + 4)

Combine like terms: -21 + 1 = -20
-20 + 7t = (t + 4)

Reorder the terms:
-20 + 7t = (4 + t)

Remove parenthesis around (4 + t)
-20 + 7t = 4 + t

Solving
-20 + 7t = 4 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-20 + 7t + -1t = 4 + t + -1t

Combine like terms: 7t + -1t = 6t
-20 + 6t = 4 + t + -1t

Combine like terms: t + -1t = 0
-20 + 6t = 4 + 0
-20 + 6t = 4

Add '20' to each side of the equation.
-20 + 20 + 6t = 4 + 20

Combine like terms: -20 + 20 = 0
0 + 6t = 4 + 20
6t = 4 + 20

Combine like terms: 4 + 20 = 24
6t = 24

Divide each side by '6'.
t = 4

Simplifying
t = 4

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