9t-21=3(t-7)+6

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Solution for 9t-21=3(t-7)+6 equation: 


Simplifying
9t + -21 = 3(t + -7) + 6

Reorder the terms:
-21 + 9t = 3(t + -7) + 6

Reorder the terms:
-21 + 9t = 3(-7 + t) + 6
-21 + 9t = (-7 * 3 + t * 3) + 6
-21 + 9t = (-21 + 3t) + 6

Reorder the terms:
-21 + 9t = -21 + 6 + 3t

Combine like terms: -21 + 6 = -15
-21 + 9t = -15 + 3t

Solving
-21 + 9t = -15 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-21 + 9t + -3t = -15 + 3t + -3t

Combine like terms: 9t + -3t = 6t
-21 + 6t = -15 + 3t + -3t

Combine like terms: 3t + -3t = 0
-21 + 6t = -15 + 0
-21 + 6t = -15

Add '21' to each side of the equation.
-21 + 21 + 6t = -15 + 21

Combine like terms: -21 + 21 = 0
0 + 6t = -15 + 21
6t = -15 + 21

Combine like terms: -15 + 21 = 6
6t = 6

Divide each side by '6'.
t = 1

Simplifying
t = 1

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