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

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


Simplifying
4(5 + 2t) = 9(2 + t)
(5 * 4 + 2t * 4) = 9(2 + t)
(20 + 8t) = 9(2 + t)
20 + 8t = (2 * 9 + t * 9)
20 + 8t = (18 + 9t)

Solving
20 + 8t = 18 + 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.
20 + 8t + -9t = 18 + 9t + -9t

Combine like terms: 8t + -9t = -1t
20 + -1t = 18 + 9t + -9t

Combine like terms: 9t + -9t = 0
20 + -1t = 18 + 0
20 + -1t = 18

Add '-20' to each side of the equation.
20 + -20 + -1t = 18 + -20

Combine like terms: 20 + -20 = 0
0 + -1t = 18 + -20
-1t = 18 + -20

Combine like terms: 18 + -20 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2

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