7t+8(9t-1)=8(3t+9)

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Solution for 7t+8(9t-1)=8(3t+9) equation:


Simplifying
7t + 8(9t + -1) = 8(3t + 9)

Reorder the terms:
7t + 8(-1 + 9t) = 8(3t + 9)
7t + (-1 * 8 + 9t * 8) = 8(3t + 9)
7t + (-8 + 72t) = 8(3t + 9)

Reorder the terms:
-8 + 7t + 72t = 8(3t + 9)

Combine like terms: 7t + 72t = 79t
-8 + 79t = 8(3t + 9)

Reorder the terms:
-8 + 79t = 8(9 + 3t)
-8 + 79t = (9 * 8 + 3t * 8)
-8 + 79t = (72 + 24t)

Solving
-8 + 79t = 72 + 24t

Solving for variable 't'.

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

Add '-24t' to each side of the equation.
-8 + 79t + -24t = 72 + 24t + -24t

Combine like terms: 79t + -24t = 55t
-8 + 55t = 72 + 24t + -24t

Combine like terms: 24t + -24t = 0
-8 + 55t = 72 + 0
-8 + 55t = 72

Add '8' to each side of the equation.
-8 + 8 + 55t = 72 + 8

Combine like terms: -8 + 8 = 0
0 + 55t = 72 + 8
55t = 72 + 8

Combine like terms: 72 + 8 = 80
55t = 80

Divide each side by '55'.
t = 1.454545455

Simplifying
t = 1.454545455

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