6(3-t)-(3-4t)=8

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Solution for 6(3-t)-(3-4t)=8 equation:


Simplifying
6(3 + -1t) + -1(3 + -4t) = 8
(3 * 6 + -1t * 6) + -1(3 + -4t) = 8
(18 + -6t) + -1(3 + -4t) = 8
18 + -6t + (3 * -1 + -4t * -1) = 8
18 + -6t + (-3 + 4t) = 8

Reorder the terms:
18 + -3 + -6t + 4t = 8

Combine like terms: 18 + -3 = 15
15 + -6t + 4t = 8

Combine like terms: -6t + 4t = -2t
15 + -2t = 8

Solving
15 + -2t = 8

Solving for variable 't'.

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

Add '-15' to each side of the equation.
15 + -15 + -2t = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -2t = 8 + -15
-2t = 8 + -15

Combine like terms: 8 + -15 = -7
-2t = -7

Divide each side by '-2'.
t = 3.5

Simplifying
t = 3.5

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