6t+21=(t-3)7

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Solution for 6t+21=(t-3)7 equation:


Simplifying
6t + 21 = (t + -3) * 7

Reorder the terms:
21 + 6t = (t + -3) * 7

Reorder the terms:
21 + 6t = (-3 + t) * 7

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

Solving
21 + 6t = -21 + 7t

Solving for variable 't'.

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

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

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

Combine like terms: 7t + -7t = 0
21 + -1t = -21 + 0
21 + -1t = -21

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

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

Combine like terms: -21 + -21 = -42
-1t = -42

Divide each side by '-1'.
t = 42

Simplifying
t = 42

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