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

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


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

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

Reorder the terms:
20 + 5t = 4(-2 + t)
20 + 5t = (-2 * 4 + t * 4)
20 + 5t = (-8 + 4t)

Solving
20 + 5t = -8 + 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.
20 + 5t + -4t = -8 + 4t + -4t

Combine like terms: 5t + -4t = 1t
20 + 1t = -8 + 4t + -4t

Combine like terms: 4t + -4t = 0
20 + 1t = -8 + 0
20 + 1t = -8

Add '-20' to each side of the equation.
20 + -20 + 1t = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 1t = -8 + -20
1t = -8 + -20

Combine like terms: -8 + -20 = -28
1t = -28

Divide each side by '1'.
t = -28

Simplifying
t = -28

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