-4(t-5)+9t=3t-3

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Solution for -4(t-5)+9t=3t-3 equation:


Simplifying
-4(t + -5) + 9t = 3t + -3

Reorder the terms:
-4(-5 + t) + 9t = 3t + -3
(-5 * -4 + t * -4) + 9t = 3t + -3
(20 + -4t) + 9t = 3t + -3

Combine like terms: -4t + 9t = 5t
20 + 5t = 3t + -3

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

Solving
20 + 5t = -3 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
20 + 5t + -3t = -3 + 3t + -3t

Combine like terms: 5t + -3t = 2t
20 + 2t = -3 + 3t + -3t

Combine like terms: 3t + -3t = 0
20 + 2t = -3 + 0
20 + 2t = -3

Add '-20' to each side of the equation.
20 + -20 + 2t = -3 + -20

Combine like terms: 20 + -20 = 0
0 + 2t = -3 + -20
2t = -3 + -20

Combine like terms: -3 + -20 = -23
2t = -23

Divide each side by '2'.
t = -11.5

Simplifying
t = -11.5

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