0.6(4t-3)=0.24(t+2)-0.66

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Solution for 0.6(4t-3)=0.24(t+2)-0.66 equation: 


Simplifying
0.6(4t + -3) = 0.24(t + 2) + -0.66

Reorder the terms:
0.6(-3 + 4t) = 0.24(t + 2) + -0.66
(-3 * 0.6 + 4t * 0.6) = 0.24(t + 2) + -0.66
(-1.8 + 2.4t) = 0.24(t + 2) + -0.66

Reorder the terms:
-1.8 + 2.4t = 0.24(2 + t) + -0.66
-1.8 + 2.4t = (2 * 0.24 + t * 0.24) + -0.66
-1.8 + 2.4t = (0.48 + 0.24t) + -0.66

Reorder the terms:
-1.8 + 2.4t = 0.48 + -0.66 + 0.24t

Combine like terms: 0.48 + -0.66 = -0.18
-1.8 + 2.4t = -0.18 + 0.24t

Solving
-1.8 + 2.4t = -0.18 + 0.24t

Solving for variable 't'.

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

Add '-0.24t' to each side of the equation.
-1.8 + 2.4t + -0.24t = -0.18 + 0.24t + -0.24t

Combine like terms: 2.4t + -0.24t = 2.16t
-1.8 + 2.16t = -0.18 + 0.24t + -0.24t

Combine like terms: 0.24t + -0.24t = 0.00
-1.8 + 2.16t = -0.18 + 0.00
-1.8 + 2.16t = -0.18

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 2.16t = -0.18 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 2.16t = -0.18 + 1.8
2.16t = -0.18 + 1.8

Combine like terms: -0.18 + 1.8 = 1.62
2.16t = 1.62

Divide each side by '2.16'.
t = 0.75

Simplifying
t = 0.75

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