-3(t-3)+7t=6t-2

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Solution for -3(t-3)+7t=6t-2 equation: 


Simplifying
-3(t + -3) + 7t = 6t + -2

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

Combine like terms: -3t + 7t = 4t
9 + 4t = 6t + -2

Reorder the terms:
9 + 4t = -2 + 6t

Solving
9 + 4t = -2 + 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 = -2 + 6t + -6t

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

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

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

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

Combine like terms: -2 + -9 = -11
-2t = -11

Divide each side by '-2'.
t = 5.5

Simplifying
t = 5.5

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