0.1(t+50)=0.07(t-30)+8

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Solution for 0.1(t+50)=0.07(t-30)+8 equation: 


Simplifying
0.1(t + 50) = 0.07(t + -30) + 8

Reorder the terms:
0.1(50 + t) = 0.07(t + -30) + 8
(50 * 0.1 + t * 0.1) = 0.07(t + -30) + 8
(5 + 0.1t) = 0.07(t + -30) + 8

Reorder the terms:
5 + 0.1t = 0.07(-30 + t) + 8
5 + 0.1t = (-30 * 0.07 + t * 0.07) + 8
5 + 0.1t = (-2.1 + 0.07t) + 8

Reorder the terms:
5 + 0.1t = -2.1 + 8 + 0.07t

Combine like terms: -2.1 + 8 = 5.9
5 + 0.1t = 5.9 + 0.07t

Solving
5 + 0.1t = 5.9 + 0.07t

Solving for variable 't'.

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

Add '-0.07t' to each side of the equation.
5 + 0.1t + -0.07t = 5.9 + 0.07t + -0.07t

Combine like terms: 0.1t + -0.07t = 0.03t
5 + 0.03t = 5.9 + 0.07t + -0.07t

Combine like terms: 0.07t + -0.07t = 0.00
5 + 0.03t = 5.9 + 0.00
5 + 0.03t = 5.9

Add '-5' to each side of the equation.
5 + -5 + 0.03t = 5.9 + -5

Combine like terms: 5 + -5 = 0
0 + 0.03t = 5.9 + -5
0.03t = 5.9 + -5

Combine like terms: 5.9 + -5 = 0.9
0.03t = 0.9

Divide each side by '0.03'.
t = 30

Simplifying
t = 30

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