3(t-2)+5(3t)=-96

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Solution for 3(t-2)+5(3t)=-96 equation:


Simplifying
3(t + -2) + 5(3t) = -96

Reorder the terms:
3(-2 + t) + 5(3t) = -96
(-2 * 3 + t * 3) + 5(3t) = -96
(-6 + 3t) + 5(3t) = -96

Remove parenthesis around (3t)
-6 + 3t + 5 * 3t = -96

Multiply 5 * 3
-6 + 3t + 15t = -96

Combine like terms: 3t + 15t = 18t
-6 + 18t = -96

Solving
-6 + 18t = -96

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + 18t = -96 + 6

Combine like terms: -6 + 6 = 0
0 + 18t = -96 + 6
18t = -96 + 6

Combine like terms: -96 + 6 = -90
18t = -90

Divide each side by '18'.
t = -5

Simplifying
t = -5

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