6(5-t)-(4-4t)=21

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Solution for 6(5-t)-(4-4t)=21 equation: 


Simplifying
6(5 + -1t) + -1(4 + -4t) = 21
(5 * 6 + -1t * 6) + -1(4 + -4t) = 21
(30 + -6t) + -1(4 + -4t) = 21
30 + -6t + (4 * -1 + -4t * -1) = 21
30 + -6t + (-4 + 4t) = 21

Reorder the terms:
30 + -4 + -6t + 4t = 21

Combine like terms: 30 + -4 = 26
26 + -6t + 4t = 21

Combine like terms: -6t + 4t = -2t
26 + -2t = 21

Solving
26 + -2t = 21

Solving for variable 't'.

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

Add '-26' to each side of the equation.
26 + -26 + -2t = 21 + -26

Combine like terms: 26 + -26 = 0
0 + -2t = 21 + -26
-2t = 21 + -26

Combine like terms: 21 + -26 = -5
-2t = -5

Divide each side by '-2'.
t = 2.5

Simplifying
t = 2.5

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