(t-3)7=6t+12

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Solution for (t-3)7=6t+12 equation:


Simplifying
(t + -3) * 7 = 6t + 12

Reorder the terms:
(-3 + t) * 7 = 6t + 12

Reorder the terms for easier multiplication:
7(-3 + t) = 6t + 12
(-3 * 7 + t * 7) = 6t + 12
(-21 + 7t) = 6t + 12

Reorder the terms:
-21 + 7t = 12 + 6t

Solving
-21 + 7t = 12 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
-21 + 7t + -6t = 12 + 6t + -6t

Combine like terms: 7t + -6t = 1t
-21 + 1t = 12 + 6t + -6t

Combine like terms: 6t + -6t = 0
-21 + 1t = 12 + 0
-21 + 1t = 12

Add '21' to each side of the equation.
-21 + 21 + 1t = 12 + 21

Combine like terms: -21 + 21 = 0
0 + 1t = 12 + 21
1t = 12 + 21

Combine like terms: 12 + 21 = 33
1t = 33

Divide each side by '1'.
t = 33

Simplifying
t = 33

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