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

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


Simplifying
3(t + 3) + -1(2t + 7) = 9

Reorder the terms:
3(3 + t) + -1(2t + 7) = 9
(3 * 3 + t * 3) + -1(2t + 7) = 9
(9 + 3t) + -1(2t + 7) = 9

Reorder the terms:
9 + 3t + -1(7 + 2t) = 9
9 + 3t + (7 * -1 + 2t * -1) = 9
9 + 3t + (-7 + -2t) = 9

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

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

Combine like terms: 3t + -2t = 1t
2 + 1t = 9

Solving
2 + 1t = 9

Solving for variable 't'.

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

Add '-2' to each side of the equation.
2 + -2 + 1t = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 1t = 9 + -2
1t = 9 + -2

Combine like terms: 9 + -2 = 7
1t = 7

Divide each side by '1'.
t = 7

Simplifying
t = 7

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