t-9+3t=3(2t-7)

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Solution for t-9+3t=3(2t-7) equation:


Simplifying
t + -9 + 3t = 3(2t + -7)

Reorder the terms:
-9 + t + 3t = 3(2t + -7)

Combine like terms: t + 3t = 4t
-9 + 4t = 3(2t + -7)

Reorder the terms:
-9 + 4t = 3(-7 + 2t)
-9 + 4t = (-7 * 3 + 2t * 3)
-9 + 4t = (-21 + 6t)

Solving
-9 + 4t = -21 + 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.
-9 + 4t + -6t = -21 + 6t + -6t

Combine like terms: 4t + -6t = -2t
-9 + -2t = -21 + 6t + -6t

Combine like terms: 6t + -6t = 0
-9 + -2t = -21 + 0
-9 + -2t = -21

Add '9' to each side of the equation.
-9 + 9 + -2t = -21 + 9

Combine like terms: -9 + 9 = 0
0 + -2t = -21 + 9
-2t = -21 + 9

Combine like terms: -21 + 9 = -12
-2t = -12

Divide each side by '-2'.
t = 6

Simplifying
t = 6

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