0.009(7-k)+0.06(k-6)=1

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Solution for 0.009(7-k)+0.06(k-6)=1 equation: 


Simplifying
0.009(7 + -1k) + 0.06(k + -6) = 1
(7 * 0.009 + -1k * 0.009) + 0.06(k + -6) = 1
(0.063 + -0.009k) + 0.06(k + -6) = 1

Reorder the terms:
0.063 + -0.009k + 0.06(-6 + k) = 1
0.063 + -0.009k + (-6 * 0.06 + k * 0.06) = 1
0.063 + -0.009k + (-0.36 + 0.06k) = 1

Reorder the terms:
0.063 + -0.36 + -0.009k + 0.06k = 1

Combine like terms: 0.063 + -0.36 = -0.297
-0.297 + -0.009k + 0.06k = 1

Combine like terms: -0.009k + 0.06k = 0.051k
-0.297 + 0.051k = 1

Solving
-0.297 + 0.051k = 1

Solving for variable 'k'.

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

Add '0.297' to each side of the equation.
-0.297 + 0.297 + 0.051k = 1 + 0.297

Combine like terms: -0.297 + 0.297 = 0.000
0.000 + 0.051k = 1 + 0.297
0.051k = 1 + 0.297

Combine like terms: 1 + 0.297 = 1.297
0.051k = 1.297

Divide each side by '0.051'.
k = 25.43137255

Simplifying
k = 25.43137255

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