-3(t-3)-(t+4)=7

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Solution for -3(t-3)-(t+4)=7 equation: 


Simplifying
-3(t + -3) + -1(t + 4) = 7

Reorder the terms:
-3(-3 + t) + -1(t + 4) = 7
(-3 * -3 + t * -3) + -1(t + 4) = 7
(9 + -3t) + -1(t + 4) = 7

Reorder the terms:
9 + -3t + -1(4 + t) = 7
9 + -3t + (4 * -1 + t * -1) = 7
9 + -3t + (-4 + -1t) = 7

Reorder the terms:
9 + -4 + -3t + -1t = 7

Combine like terms: 9 + -4 = 5
5 + -3t + -1t = 7

Combine like terms: -3t + -1t = -4t
5 + -4t = 7

Solving
5 + -4t = 7

Solving for variable 't'.

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

Add '-5' to each side of the equation.
5 + -5 + -4t = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -4t = 7 + -5
-4t = 7 + -5

Combine like terms: 7 + -5 = 2
-4t = 2

Divide each side by '-4'.
t = -0.5

Simplifying
t = -0.5

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