40(t-0.5)=30(t+0.5)

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Solution for 40(t-0.5)=30(t+0.5) equation:


Simplifying
40(t + -0.5) = 30(t + 0.5)

Reorder the terms:
40(-0.5 + t) = 30(t + 0.5)
(-0.5 * 40 + t * 40) = 30(t + 0.5)
(-20 + 40t) = 30(t + 0.5)

Reorder the terms:
-20 + 40t = 30(0.5 + t)
-20 + 40t = (0.5 * 30 + t * 30)
-20 + 40t = (15 + 30t)

Solving
-20 + 40t = 15 + 30t

Solving for variable 't'.

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

Add '-30t' to each side of the equation.
-20 + 40t + -30t = 15 + 30t + -30t

Combine like terms: 40t + -30t = 10t
-20 + 10t = 15 + 30t + -30t

Combine like terms: 30t + -30t = 0
-20 + 10t = 15 + 0
-20 + 10t = 15

Add '20' to each side of the equation.
-20 + 20 + 10t = 15 + 20

Combine like terms: -20 + 20 = 0
0 + 10t = 15 + 20
10t = 15 + 20

Combine like terms: 15 + 20 = 35
10t = 35

Divide each side by '10'.
t = 3.5

Simplifying
t = 3.5

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