5t-2(t-3)=9t-18

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Solution for 5t-2(t-3)=9t-18 equation:


Simplifying
5t + -2(t + -3) = 9t + -18

Reorder the terms:
5t + -2(-3 + t) = 9t + -18
5t + (-3 * -2 + t * -2) = 9t + -18
5t + (6 + -2t) = 9t + -18

Reorder the terms:
6 + 5t + -2t = 9t + -18

Combine like terms: 5t + -2t = 3t
6 + 3t = 9t + -18

Reorder the terms:
6 + 3t = -18 + 9t

Solving
6 + 3t = -18 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
6 + 3t + -9t = -18 + 9t + -9t

Combine like terms: 3t + -9t = -6t
6 + -6t = -18 + 9t + -9t

Combine like terms: 9t + -9t = 0
6 + -6t = -18 + 0
6 + -6t = -18

Add '-6' to each side of the equation.
6 + -6 + -6t = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -6t = -18 + -6
-6t = -18 + -6

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

Divide each side by '-6'.
t = 4

Simplifying
t = 4

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