4(3t+5)=4(5t-7)

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Solution for 4(3t+5)=4(5t-7) equation:


Simplifying
4(3t + 5) = 4(5t + -7)

Reorder the terms:
4(5 + 3t) = 4(5t + -7)
(5 * 4 + 3t * 4) = 4(5t + -7)
(20 + 12t) = 4(5t + -7)

Reorder the terms:
20 + 12t = 4(-7 + 5t)
20 + 12t = (-7 * 4 + 5t * 4)
20 + 12t = (-28 + 20t)

Solving
20 + 12t = -28 + 20t

Solving for variable 't'.

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

Add '-20t' to each side of the equation.
20 + 12t + -20t = -28 + 20t + -20t

Combine like terms: 12t + -20t = -8t
20 + -8t = -28 + 20t + -20t

Combine like terms: 20t + -20t = 0
20 + -8t = -28 + 0
20 + -8t = -28

Add '-20' to each side of the equation.
20 + -20 + -8t = -28 + -20

Combine like terms: 20 + -20 = 0
0 + -8t = -28 + -20
-8t = -28 + -20

Combine like terms: -28 + -20 = -48
-8t = -48

Divide each side by '-8'.
t = 6

Simplifying
t = 6

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