3(5t+6)=4(6t+5)

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Solution for 3(5t+6)=4(6t+5) equation:


Simplifying
3(5t + 6) = 4(6t + 5)

Reorder the terms:
3(6 + 5t) = 4(6t + 5)
(6 * 3 + 5t * 3) = 4(6t + 5)
(18 + 15t) = 4(6t + 5)

Reorder the terms:
18 + 15t = 4(5 + 6t)
18 + 15t = (5 * 4 + 6t * 4)
18 + 15t = (20 + 24t)

Solving
18 + 15t = 20 + 24t

Solving for variable 't'.

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

Add '-24t' to each side of the equation.
18 + 15t + -24t = 20 + 24t + -24t

Combine like terms: 15t + -24t = -9t
18 + -9t = 20 + 24t + -24t

Combine like terms: 24t + -24t = 0
18 + -9t = 20 + 0
18 + -9t = 20

Add '-18' to each side of the equation.
18 + -18 + -9t = 20 + -18

Combine like terms: 18 + -18 = 0
0 + -9t = 20 + -18
-9t = 20 + -18

Combine like terms: 20 + -18 = 2
-9t = 2

Divide each side by '-9'.
t = -0.2222222222

Simplifying
t = -0.2222222222

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