7(t-3)=4(t-8)

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Solution for 7(t-3)=4(t-8) equation:


Simplifying
7(t + -3) = 4(t + -8)

Reorder the terms:
7(-3 + t) = 4(t + -8)
(-3 * 7 + t * 7) = 4(t + -8)
(-21 + 7t) = 4(t + -8)

Reorder the terms:
-21 + 7t = 4(-8 + t)
-21 + 7t = (-8 * 4 + t * 4)
-21 + 7t = (-32 + 4t)

Solving
-21 + 7t = -32 + 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.
-21 + 7t + -4t = -32 + 4t + -4t

Combine like terms: 7t + -4t = 3t
-21 + 3t = -32 + 4t + -4t

Combine like terms: 4t + -4t = 0
-21 + 3t = -32 + 0
-21 + 3t = -32

Add '21' to each side of the equation.
-21 + 21 + 3t = -32 + 21

Combine like terms: -21 + 21 = 0
0 + 3t = -32 + 21
3t = -32 + 21

Combine like terms: -32 + 21 = -11
3t = -11

Divide each side by '3'.
t = -3.666666667

Simplifying
t = -3.666666667

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