3t-2=4(t+5)

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Solution for 3t-2=4(t+5) equation:


Simplifying
3t + -2 = 4(t + 5)

Reorder the terms:
-2 + 3t = 4(t + 5)

Reorder the terms:
-2 + 3t = 4(5 + t)
-2 + 3t = (5 * 4 + t * 4)
-2 + 3t = (20 + 4t)

Solving
-2 + 3t = 20 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-2 + 3t + -4t = 20 + 4t + -4t

Combine like terms: 3t + -4t = -1t
-2 + -1t = 20 + 4t + -4t

Combine like terms: 4t + -4t = 0
-2 + -1t = 20 + 0
-2 + -1t = 20

Add '2' to each side of the equation.
-2 + 2 + -1t = 20 + 2

Combine like terms: -2 + 2 = 0
0 + -1t = 20 + 2
-1t = 20 + 2

Combine like terms: 20 + 2 = 22
-1t = 22

Divide each side by '-1'.
t = -22

Simplifying
t = -22

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