8(t-3)+4t=(3t+3)-11

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Solution for 8(t-3)+4t=(3t+3)-11 equation:


Simplifying
8(t + -3) + 4t = (3t + 3) + -11

Reorder the terms:
8(-3 + t) + 4t = (3t + 3) + -11
(-3 * 8 + t * 8) + 4t = (3t + 3) + -11
(-24 + 8t) + 4t = (3t + 3) + -11

Combine like terms: 8t + 4t = 12t
-24 + 12t = (3t + 3) + -11

Reorder the terms:
-24 + 12t = (3 + 3t) + -11

Remove parenthesis around (3 + 3t)
-24 + 12t = 3 + 3t + -11

Reorder the terms:
-24 + 12t = 3 + -11 + 3t

Combine like terms: 3 + -11 = -8
-24 + 12t = -8 + 3t

Solving
-24 + 12t = -8 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-24 + 12t + -3t = -8 + 3t + -3t

Combine like terms: 12t + -3t = 9t
-24 + 9t = -8 + 3t + -3t

Combine like terms: 3t + -3t = 0
-24 + 9t = -8 + 0
-24 + 9t = -8

Add '24' to each side of the equation.
-24 + 24 + 9t = -8 + 24

Combine like terms: -24 + 24 = 0
0 + 9t = -8 + 24
9t = -8 + 24

Combine like terms: -8 + 24 = 16
9t = 16

Divide each side by '9'.
t = 1.777777778

Simplifying
t = 1.777777778

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