0.1(25t-6)=0.4(6t+7)

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Solution for 0.1(25t-6)=0.4(6t+7) equation:


Simplifying
0.1(25t + -6) = 0.4(6t + 7)

Reorder the terms:
0.1(-6 + 25t) = 0.4(6t + 7)
(-6 * 0.1 + 25t * 0.1) = 0.4(6t + 7)
(-0.6 + 2.5t) = 0.4(6t + 7)

Reorder the terms:
-0.6 + 2.5t = 0.4(7 + 6t)
-0.6 + 2.5t = (7 * 0.4 + 6t * 0.4)
-0.6 + 2.5t = (2.8 + 2.4t)

Solving
-0.6 + 2.5t = 2.8 + 2.4t

Solving for variable 't'.

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

Add '-2.4t' to each side of the equation.
-0.6 + 2.5t + -2.4t = 2.8 + 2.4t + -2.4t

Combine like terms: 2.5t + -2.4t = 0.1t
-0.6 + 0.1t = 2.8 + 2.4t + -2.4t

Combine like terms: 2.4t + -2.4t = 0.0
-0.6 + 0.1t = 2.8 + 0.0
-0.6 + 0.1t = 2.8

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.1t = 2.8 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.1t = 2.8 + 0.6
0.1t = 2.8 + 0.6

Combine like terms: 2.8 + 0.6 = 3.4
0.1t = 3.4

Divide each side by '0.1'.
t = 34

Simplifying
t = 34

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