-4(t-2)+6t=8t-9

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Solution for -4(t-2)+6t=8t-9 equation:


Simplifying
-4(t + -2) + 6t = 8t + -9

Reorder the terms:
-4(-2 + t) + 6t = 8t + -9
(-2 * -4 + t * -4) + 6t = 8t + -9
(8 + -4t) + 6t = 8t + -9

Combine like terms: -4t + 6t = 2t
8 + 2t = 8t + -9

Reorder the terms:
8 + 2t = -9 + 8t

Solving
8 + 2t = -9 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
8 + 2t + -8t = -9 + 8t + -8t

Combine like terms: 2t + -8t = -6t
8 + -6t = -9 + 8t + -8t

Combine like terms: 8t + -8t = 0
8 + -6t = -9 + 0
8 + -6t = -9

Add '-8' to each side of the equation.
8 + -8 + -6t = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -6t = -9 + -8
-6t = -9 + -8

Combine like terms: -9 + -8 = -17
-6t = -17

Divide each side by '-6'.
t = 2.833333333

Simplifying
t = 2.833333333

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