8(t-2)=6(2t+4)-11

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Solution for 8(t-2)=6(2t+4)-11 equation:


Simplifying
8(t + -2) = 6(2t + 4) + -11

Reorder the terms:
8(-2 + t) = 6(2t + 4) + -11
(-2 * 8 + t * 8) = 6(2t + 4) + -11
(-16 + 8t) = 6(2t + 4) + -11

Reorder the terms:
-16 + 8t = 6(4 + 2t) + -11
-16 + 8t = (4 * 6 + 2t * 6) + -11
-16 + 8t = (24 + 12t) + -11

Reorder the terms:
-16 + 8t = 24 + -11 + 12t

Combine like terms: 24 + -11 = 13
-16 + 8t = 13 + 12t

Solving
-16 + 8t = 13 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
-16 + 8t + -12t = 13 + 12t + -12t

Combine like terms: 8t + -12t = -4t
-16 + -4t = 13 + 12t + -12t

Combine like terms: 12t + -12t = 0
-16 + -4t = 13 + 0
-16 + -4t = 13

Add '16' to each side of the equation.
-16 + 16 + -4t = 13 + 16

Combine like terms: -16 + 16 = 0
0 + -4t = 13 + 16
-4t = 13 + 16

Combine like terms: 13 + 16 = 29
-4t = 29

Divide each side by '-4'.
t = -7.25

Simplifying
t = -7.25

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