6-2(-16t+19)=3(7t+15)

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Solution for 6-2(-16t+19)=3(7t+15) equation:


Simplifying
6 + -2(-16t + 19) = 3(7t + 15)

Reorder the terms:
6 + -2(19 + -16t) = 3(7t + 15)
6 + (19 * -2 + -16t * -2) = 3(7t + 15)
6 + (-38 + 32t) = 3(7t + 15)

Combine like terms: 6 + -38 = -32
-32 + 32t = 3(7t + 15)

Reorder the terms:
-32 + 32t = 3(15 + 7t)
-32 + 32t = (15 * 3 + 7t * 3)
-32 + 32t = (45 + 21t)

Solving
-32 + 32t = 45 + 21t

Solving for variable 't'.

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

Add '-21t' to each side of the equation.
-32 + 32t + -21t = 45 + 21t + -21t

Combine like terms: 32t + -21t = 11t
-32 + 11t = 45 + 21t + -21t

Combine like terms: 21t + -21t = 0
-32 + 11t = 45 + 0
-32 + 11t = 45

Add '32' to each side of the equation.
-32 + 32 + 11t = 45 + 32

Combine like terms: -32 + 32 = 0
0 + 11t = 45 + 32
11t = 45 + 32

Combine like terms: 45 + 32 = 77
11t = 77

Divide each side by '11'.
t = 7

Simplifying
t = 7

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