4(5-t)-(2-2t)=9

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Solution for 4(5-t)-(2-2t)=9 equation:


Simplifying
4(5 + -1t) + -1(2 + -2t) = 9
(5 * 4 + -1t * 4) + -1(2 + -2t) = 9
(20 + -4t) + -1(2 + -2t) = 9
20 + -4t + (2 * -1 + -2t * -1) = 9
20 + -4t + (-2 + 2t) = 9

Reorder the terms:
20 + -2 + -4t + 2t = 9

Combine like terms: 20 + -2 = 18
18 + -4t + 2t = 9

Combine like terms: -4t + 2t = -2t
18 + -2t = 9

Solving
18 + -2t = 9

Solving for variable 't'.

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

Add '-18' to each side of the equation.
18 + -18 + -2t = 9 + -18

Combine like terms: 18 + -18 = 0
0 + -2t = 9 + -18
-2t = 9 + -18

Combine like terms: 9 + -18 = -9
-2t = -9

Divide each side by '-2'.
t = 4.5

Simplifying
t = 4.5

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