6(t+-2)=9(t+-4)

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Solution for 6(t+-2)=9(t+-4) equation:


Simplifying
6(t + -2) = 9(t + -4)

Reorder the terms:
6(-2 + t) = 9(t + -4)
(-2 * 6 + t * 6) = 9(t + -4)
(-12 + 6t) = 9(t + -4)

Reorder the terms:
-12 + 6t = 9(-4 + t)
-12 + 6t = (-4 * 9 + t * 9)
-12 + 6t = (-36 + 9t)

Solving
-12 + 6t = -36 + 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.
-12 + 6t + -9t = -36 + 9t + -9t

Combine like terms: 6t + -9t = -3t
-12 + -3t = -36 + 9t + -9t

Combine like terms: 9t + -9t = 0
-12 + -3t = -36 + 0
-12 + -3t = -36

Add '12' to each side of the equation.
-12 + 12 + -3t = -36 + 12

Combine like terms: -12 + 12 = 0
0 + -3t = -36 + 12
-3t = -36 + 12

Combine like terms: -36 + 12 = -24
-3t = -24

Divide each side by '-3'.
t = 8

Simplifying
t = 8

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