.009(k-2)+.07(k-5)=1

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Solution for .009(k-2)+.07(k-5)=1 equation: 


Simplifying
0.009(k + -2) + 0.07(k + -5) = 1

Reorder the terms:
0.009(-2 + k) + 0.07(k + -5) = 1
(-2 * 0.009 + k * 0.009) + 0.07(k + -5) = 1
(-0.018 + 0.009k) + 0.07(k + -5) = 1

Reorder the terms:
-0.018 + 0.009k + 0.07(-5 + k) = 1
-0.018 + 0.009k + (-5 * 0.07 + k * 0.07) = 1
-0.018 + 0.009k + (-0.35 + 0.07k) = 1

Reorder the terms:
-0.018 + -0.35 + 0.009k + 0.07k = 1

Combine like terms: -0.018 + -0.35 = -0.368
-0.368 + 0.009k + 0.07k = 1

Combine like terms: 0.009k + 0.07k = 0.079k
-0.368 + 0.079k = 1

Solving
-0.368 + 0.079k = 1

Solving for variable 'k'.

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

Add '0.368' to each side of the equation.
-0.368 + 0.368 + 0.079k = 1 + 0.368

Combine like terms: -0.368 + 0.368 = 0.000
0.000 + 0.079k = 1 + 0.368
0.079k = 1 + 0.368

Combine like terms: 1 + 0.368 = 1.368
0.079k = 1.368

Divide each side by '0.079'.
k = 17.3164557

Simplifying
k = 17.3164557

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