7(t-2)-3(3t+2)=30

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Solution for 7(t-2)-3(3t+2)=30 equation: 


Simplifying
7(t + -2) + -3(3t + 2) = 30

Reorder the terms:
7(-2 + t) + -3(3t + 2) = 30
(-2 * 7 + t * 7) + -3(3t + 2) = 30
(-14 + 7t) + -3(3t + 2) = 30

Reorder the terms:
-14 + 7t + -3(2 + 3t) = 30
-14 + 7t + (2 * -3 + 3t * -3) = 30
-14 + 7t + (-6 + -9t) = 30

Reorder the terms:
-14 + -6 + 7t + -9t = 30

Combine like terms: -14 + -6 = -20
-20 + 7t + -9t = 30

Combine like terms: 7t + -9t = -2t
-20 + -2t = 30

Solving
-20 + -2t = 30

Solving for variable 't'.

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

Add '20' to each side of the equation.
-20 + 20 + -2t = 30 + 20

Combine like terms: -20 + 20 = 0
0 + -2t = 30 + 20
-2t = 30 + 20

Combine like terms: 30 + 20 = 50
-2t = 50

Divide each side by '-2'.
t = -25

Simplifying
t = -25

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