0.007(6-k)+0.05(k-7)=1

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Solution for 0.007(6-k)+0.05(k-7)=1 equation: 


Simplifying
0.007(6 + -1k) + 0.05(k + -7) = 1
(6 * 0.007 + -1k * 0.007) + 0.05(k + -7) = 1
(0.042 + -0.007k) + 0.05(k + -7) = 1

Reorder the terms:
0.042 + -0.007k + 0.05(-7 + k) = 1
0.042 + -0.007k + (-7 * 0.05 + k * 0.05) = 1
0.042 + -0.007k + (-0.35 + 0.05k) = 1

Reorder the terms:
0.042 + -0.35 + -0.007k + 0.05k = 1

Combine like terms: 0.042 + -0.35 = -0.308
-0.308 + -0.007k + 0.05k = 1

Combine like terms: -0.007k + 0.05k = 0.043k
-0.308 + 0.043k = 1

Solving
-0.308 + 0.043k = 1

Solving for variable 'k'.

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

Add '0.308' to each side of the equation.
-0.308 + 0.308 + 0.043k = 1 + 0.308

Combine like terms: -0.308 + 0.308 = 0.000
0.000 + 0.043k = 1 + 0.308
0.043k = 1 + 0.308

Combine like terms: 1 + 0.308 = 1.308
0.043k = 1.308

Divide each side by '0.043'.
k = 30.41860465

Simplifying
k = 30.41860465

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