.3(2.5t-.5)=.6(1.5t+.3)

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Solution for .3(2.5t-.5)=.6(1.5t+.3) equation: 


Simplifying
0.3(2.5t + -0.5) = 0.6(1.5t + 0.3)

Reorder the terms:
0.3(-0.5 + 2.5t) = 0.6(1.5t + 0.3)
(-0.5 * 0.3 + 2.5t * 0.3) = 0.6(1.5t + 0.3)
(-0.15 + 0.75t) = 0.6(1.5t + 0.3)

Reorder the terms:
-0.15 + 0.75t = 0.6(0.3 + 1.5t)
-0.15 + 0.75t = (0.3 * 0.6 + 1.5t * 0.6)
-0.15 + 0.75t = (0.18 + 0.9t)

Solving
-0.15 + 0.75t = 0.18 + 0.9t

Solving for variable 't'.

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

Add '-0.9t' to each side of the equation.
-0.15 + 0.75t + -0.9t = 0.18 + 0.9t + -0.9t

Combine like terms: 0.75t + -0.9t = -0.15t
-0.15 + -0.15t = 0.18 + 0.9t + -0.9t

Combine like terms: 0.9t + -0.9t = 0.0
-0.15 + -0.15t = 0.18 + 0.0
-0.15 + -0.15t = 0.18

Add '0.15' to each side of the equation.
-0.15 + 0.15 + -0.15t = 0.18 + 0.15

Combine like terms: -0.15 + 0.15 = 0.00
0.00 + -0.15t = 0.18 + 0.15
-0.15t = 0.18 + 0.15

Combine like terms: 0.18 + 0.15 = 0.33
-0.15t = 0.33

Divide each side by '-0.15'.
t = -2.2

Simplifying
t = -2.2

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