6(t-3)=2(-2t)

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Solution for 6(t-3)=2(-2t) equation:


Simplifying
6(t + -3) = 2(-2t)

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

Remove parenthesis around (-2t)
-18 + 6t = 2 * -2t

Multiply 2 * -2
-18 + 6t = -4t

Solving
-18 + 6t = -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.
-18 + 6t + 4t = -4t + 4t

Combine like terms: 6t + 4t = 10t
-18 + 10t = -4t + 4t

Combine like terms: -4t + 4t = 0
-18 + 10t = 0

Add '18' to each side of the equation.
-18 + 18 + 10t = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 10t = 0 + 18
10t = 0 + 18

Combine like terms: 0 + 18 = 18
10t = 18

Divide each side by '10'.
t = 1.8

Simplifying
t = 1.8

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