-6=-5(3t+4)+3(8-5t)

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Solution for -6=-5(3t+4)+3(8-5t) equation:


Simplifying
-6 = -5(3t + 4) + 3(8 + -5t)

Reorder the terms:
-6 = -5(4 + 3t) + 3(8 + -5t)
-6 = (4 * -5 + 3t * -5) + 3(8 + -5t)
-6 = (-20 + -15t) + 3(8 + -5t)
-6 = -20 + -15t + (8 * 3 + -5t * 3)
-6 = -20 + -15t + (24 + -15t)

Reorder the terms:
-6 = -20 + 24 + -15t + -15t

Combine like terms: -20 + 24 = 4
-6 = 4 + -15t + -15t

Combine like terms: -15t + -15t = -30t
-6 = 4 + -30t

Solving
-6 = 4 + -30t

Solving for variable 't'.

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

Add '30t' to each side of the equation.
-6 + 30t = 4 + -30t + 30t

Combine like terms: -30t + 30t = 0
-6 + 30t = 4 + 0
-6 + 30t = 4

Add '6' to each side of the equation.
-6 + 6 + 30t = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 30t = 4 + 6
30t = 4 + 6

Combine like terms: 4 + 6 = 10
30t = 10

Divide each side by '30'.
t = 0.3333333333

Simplifying
t = 0.3333333333

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