4t-8=5(t+6)

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


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

Reorder the terms:
-8 + 4t = 5(t + 6)

Reorder the terms:
-8 + 4t = 5(6 + t)
-8 + 4t = (6 * 5 + t * 5)
-8 + 4t = (30 + 5t)

Solving
-8 + 4t = 30 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-8 + 4t + -5t = 30 + 5t + -5t

Combine like terms: 4t + -5t = -1t
-8 + -1t = 30 + 5t + -5t

Combine like terms: 5t + -5t = 0
-8 + -1t = 30 + 0
-8 + -1t = 30

Add '8' to each side of the equation.
-8 + 8 + -1t = 30 + 8

Combine like terms: -8 + 8 = 0
0 + -1t = 30 + 8
-1t = 30 + 8

Combine like terms: 30 + 8 = 38
-1t = 38

Divide each side by '-1'.
t = -38

Simplifying
t = -38

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