0.004(3-k)+0.04(k-4)=1

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Solution for 0.004(3-k)+0.04(k-4)=1 equation: 


Simplifying
0.004(3 + -1k) + 0.04(k + -4) = 1
(3 * 0.004 + -1k * 0.004) + 0.04(k + -4) = 1
(0.012 + -0.004k) + 0.04(k + -4) = 1

Reorder the terms:
0.012 + -0.004k + 0.04(-4 + k) = 1
0.012 + -0.004k + (-4 * 0.04 + k * 0.04) = 1
0.012 + -0.004k + (-0.16 + 0.04k) = 1

Reorder the terms:
0.012 + -0.16 + -0.004k + 0.04k = 1

Combine like terms: 0.012 + -0.16 = -0.148
-0.148 + -0.004k + 0.04k = 1

Combine like terms: -0.004k + 0.04k = 0.036k
-0.148 + 0.036k = 1

Solving
-0.148 + 0.036k = 1

Solving for variable 'k'.

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

Add '0.148' to each side of the equation.
-0.148 + 0.148 + 0.036k = 1 + 0.148

Combine like terms: -0.148 + 0.148 = 0.000
0.000 + 0.036k = 1 + 0.148
0.036k = 1 + 0.148

Combine like terms: 1 + 0.148 = 1.148
0.036k = 1.148

Divide each side by '0.036'.
k = 31.88888889

Simplifying
k = 31.88888889

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