4t-7=5(t+4)

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


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

Reorder the terms:
-7 + 4t = 5(t + 4)

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

Solving
-7 + 4t = 20 + 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.
-7 + 4t + -5t = 20 + 5t + -5t

Combine like terms: 4t + -5t = -1t
-7 + -1t = 20 + 5t + -5t

Combine like terms: 5t + -5t = 0
-7 + -1t = 20 + 0
-7 + -1t = 20

Add '7' to each side of the equation.
-7 + 7 + -1t = 20 + 7

Combine like terms: -7 + 7 = 0
0 + -1t = 20 + 7
-1t = 20 + 7

Combine like terms: 20 + 7 = 27
-1t = 27

Divide each side by '-1'.
t = -27

Simplifying
t = -27

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