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

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


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

Reorder the terms:
-3 + -3(-3 + t) = 5(t + 4) + 4
-3 + (-3 * -3 + t * -3) = 5(t + 4) + 4
-3 + (9 + -3t) = 5(t + 4) + 4

Combine like terms: -3 + 9 = 6
6 + -3t = 5(t + 4) + 4

Reorder the terms:
6 + -3t = 5(4 + t) + 4
6 + -3t = (4 * 5 + t * 5) + 4
6 + -3t = (20 + 5t) + 4

Reorder the terms:
6 + -3t = 20 + 4 + 5t

Combine like terms: 20 + 4 = 24
6 + -3t = 24 + 5t

Solving
6 + -3t = 24 + 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.
6 + -3t + -5t = 24 + 5t + -5t

Combine like terms: -3t + -5t = -8t
6 + -8t = 24 + 5t + -5t

Combine like terms: 5t + -5t = 0
6 + -8t = 24 + 0
6 + -8t = 24

Add '-6' to each side of the equation.
6 + -6 + -8t = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -8t = 24 + -6
-8t = 24 + -6

Combine like terms: 24 + -6 = 18
-8t = 18

Divide each side by '-8'.
t = -2.25

Simplifying
t = -2.25

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