(t-2)+8t=7(2t+3)-11

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Solution for (t-2)+8t=7(2t+3)-11 equation:


Simplifying
(t + -2) + 8t = 7(2t + 3) + -11
Reorder the terms:
(-2 + t) + 8t = 7(2t + 3) + -11
Remove parenthesis around (-2 + t)
-2 + t + 8t = 7(2t + 3) + -11
Combine like terms: t + 8t = 9t
-2 + 9t = 7(2t + 3) + -11
Reorder the terms:
-2 + 9t = 7(3 + 2t) + -11
-2 + 9t = (3 * 7 + 2t * 7) + -11
-2 + 9t = (21 + 14t) + -11
Reorder the terms:
-2 + 9t = 21 + -11 + 14t
Combine like terms: 21 + -11 = 10
-2 + 9t = 10 + 14t
Solving
-2 + 9t = 10 + 14t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-14t' to each side of the equation.
-2 + 9t + -14t = 10 + 14t + -14t
Combine like terms: 9t + -14t = -5t
-2 + -5t = 10 + 14t + -14t
Combine like terms: 14t + -14t = 0
-2 + -5t = 10 + 0
-2 + -5t = 10
Add '2' to each side of the equation.
-2 + 2 + -5t = 10 + 2
Combine like terms: -2 + 2 = 0
0 + -5t = 10 + 2
-5t = 10 + 2
Combine like terms: 10 + 2 = 12
-5t = 12
Divide each side by '-5'.
t = -2.4
Simplifying
t = -2.4

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