0.04(3t+4)=0.09(t-4)+0.48

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Solution for 0.04(3t+4)=0.09(t-4)+0.48 equation:


Simplifying
0.04(3t + 4) = 0.09(t + -4) + 0.48

Reorder the terms:
0.04(4 + 3t) = 0.09(t + -4) + 0.48
(4 * 0.04 + 3t * 0.04) = 0.09(t + -4) + 0.48
(0.16 + 0.12t) = 0.09(t + -4) + 0.48

Reorder the terms:
0.16 + 0.12t = 0.09(-4 + t) + 0.48
0.16 + 0.12t = (-4 * 0.09 + t * 0.09) + 0.48
0.16 + 0.12t = (-0.36 + 0.09t) + 0.48

Reorder the terms:
0.16 + 0.12t = -0.36 + 0.48 + 0.09t

Combine like terms: -0.36 + 0.48 = 0.12
0.16 + 0.12t = 0.12 + 0.09t

Solving
0.16 + 0.12t = 0.12 + 0.09t

Solving for variable 't'.

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

Add '-0.09t' to each side of the equation.
0.16 + 0.12t + -0.09t = 0.12 + 0.09t + -0.09t

Combine like terms: 0.12t + -0.09t = 0.03t
0.16 + 0.03t = 0.12 + 0.09t + -0.09t

Combine like terms: 0.09t + -0.09t = 0.00
0.16 + 0.03t = 0.12 + 0.00
0.16 + 0.03t = 0.12

Add '-0.16' to each side of the equation.
0.16 + -0.16 + 0.03t = 0.12 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + 0.03t = 0.12 + -0.16
0.03t = 0.12 + -0.16

Combine like terms: 0.12 + -0.16 = -0.04
0.03t = -0.04

Divide each side by '0.03'.
t = -1.333333333

Simplifying
t = -1.333333333

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