0.004(7-k)+0.06(k-8)=1

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Solution for 0.004(7-k)+0.06(k-8)=1 equation: 


Simplifying
0.004(7 + -1k) + 0.06(k + -8) = 1
(7 * 0.004 + -1k * 0.004) + 0.06(k + -8) = 1
(0.028 + -0.004k) + 0.06(k + -8) = 1

Reorder the terms:
0.028 + -0.004k + 0.06(-8 + k) = 1
0.028 + -0.004k + (-8 * 0.06 + k * 0.06) = 1
0.028 + -0.004k + (-0.48 + 0.06k) = 1

Reorder the terms:
0.028 + -0.48 + -0.004k + 0.06k = 1

Combine like terms: 0.028 + -0.48 = -0.452
-0.452 + -0.004k + 0.06k = 1

Combine like terms: -0.004k + 0.06k = 0.056k
-0.452 + 0.056k = 1

Solving
-0.452 + 0.056k = 1

Solving for variable 'k'.

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

Add '0.452' to each side of the equation.
-0.452 + 0.452 + 0.056k = 1 + 0.452

Combine like terms: -0.452 + 0.452 = 0.000
0.000 + 0.056k = 1 + 0.452
0.056k = 1 + 0.452

Combine like terms: 1 + 0.452 = 1.452
0.056k = 1.452

Divide each side by '0.056'.
k = 25.92857143

Simplifying
k = 25.92857143

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