0.05(3t+6)=0.1(t+15)-0.45

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Solution for 0.05(3t+6)=0.1(t+15)-0.45 equation: 


Simplifying
0.05(3t + 6) = 0.1(t + 15) + -0.45

Reorder the terms:
0.05(6 + 3t) = 0.1(t + 15) + -0.45
(6 * 0.05 + 3t * 0.05) = 0.1(t + 15) + -0.45
(0.3 + 0.15t) = 0.1(t + 15) + -0.45

Reorder the terms:
0.3 + 0.15t = 0.1(15 + t) + -0.45
0.3 + 0.15t = (15 * 0.1 + t * 0.1) + -0.45
0.3 + 0.15t = (1.5 + 0.1t) + -0.45

Reorder the terms:
0.3 + 0.15t = 1.5 + -0.45 + 0.1t

Combine like terms: 1.5 + -0.45 = 1.05
0.3 + 0.15t = 1.05 + 0.1t

Solving
0.3 + 0.15t = 1.05 + 0.1t

Solving for variable 't'.

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

Add '-0.1t' to each side of the equation.
0.3 + 0.15t + -0.1t = 1.05 + 0.1t + -0.1t

Combine like terms: 0.15t + -0.1t = 0.05t
0.3 + 0.05t = 1.05 + 0.1t + -0.1t

Combine like terms: 0.1t + -0.1t = 0.0
0.3 + 0.05t = 1.05 + 0.0
0.3 + 0.05t = 1.05

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.05t = 1.05 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.05t = 1.05 + -0.3
0.05t = 1.05 + -0.3

Combine like terms: 1.05 + -0.3 = 0.75
0.05t = 0.75

Divide each side by '0.05'.
t = 15

Simplifying
t = 15

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