4(t-4)-(t+8)=7

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Solution for 4(t-4)-(t+8)=7 equation: 


Simplifying
4(t + -4) + -1(t + 8) = 7

Reorder the terms:
4(-4 + t) + -1(t + 8) = 7
(-4 * 4 + t * 4) + -1(t + 8) = 7
(-16 + 4t) + -1(t + 8) = 7

Reorder the terms:
-16 + 4t + -1(8 + t) = 7
-16 + 4t + (8 * -1 + t * -1) = 7
-16 + 4t + (-8 + -1t) = 7

Reorder the terms:
-16 + -8 + 4t + -1t = 7

Combine like terms: -16 + -8 = -24
-24 + 4t + -1t = 7

Combine like terms: 4t + -1t = 3t
-24 + 3t = 7

Solving
-24 + 3t = 7

Solving for variable 't'.

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

Add '24' to each side of the equation.
-24 + 24 + 3t = 7 + 24

Combine like terms: -24 + 24 = 0
0 + 3t = 7 + 24
3t = 7 + 24

Combine like terms: 7 + 24 = 31
3t = 31

Divide each side by '3'.
t = 10.33333333

Simplifying
t = 10.33333333

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