3(t-3)+2(5t+1)=0

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Solution for 3(t-3)+2(5t+1)=0 equation:


Simplifying
3(t + -3) + 2(5t + 1) = 0

Reorder the terms:
3(-3 + t) + 2(5t + 1) = 0
(-3 * 3 + t * 3) + 2(5t + 1) = 0
(-9 + 3t) + 2(5t + 1) = 0

Reorder the terms:
-9 + 3t + 2(1 + 5t) = 0
-9 + 3t + (1 * 2 + 5t * 2) = 0
-9 + 3t + (2 + 10t) = 0

Reorder the terms:
-9 + 2 + 3t + 10t = 0

Combine like terms: -9 + 2 = -7
-7 + 3t + 10t = 0

Combine like terms: 3t + 10t = 13t
-7 + 13t = 0

Solving
-7 + 13t = 0

Solving for variable 't'.

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

Add '7' to each side of the equation.
-7 + 7 + 13t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 13t = 0 + 7
13t = 0 + 7

Combine like terms: 0 + 7 = 7
13t = 7

Divide each side by '13'.
t = 0.5384615385

Simplifying
t = 0.5384615385

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