.003(5-k)+0.07(k-8)=1

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Solution for .003(5-k)+0.07(k-8)=1 equation:


Simplifying
0.003(5 + -1k) + 0.07(k + -8) = 1
(5 * 0.003 + -1k * 0.003) + 0.07(k + -8) = 1
(0.015 + -0.003k) + 0.07(k + -8) = 1

Reorder the terms:
0.015 + -0.003k + 0.07(-8 + k) = 1
0.015 + -0.003k + (-8 * 0.07 + k * 0.07) = 1
0.015 + -0.003k + (-0.56 + 0.07k) = 1

Reorder the terms:
0.015 + -0.56 + -0.003k + 0.07k = 1

Combine like terms: 0.015 + -0.56 = -0.545
-0.545 + -0.003k + 0.07k = 1

Combine like terms: -0.003k + 0.07k = 0.067k
-0.545 + 0.067k = 1

Solving
-0.545 + 0.067k = 1

Solving for variable 'k'.

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

Add '0.545' to each side of the equation.
-0.545 + 0.545 + 0.067k = 1 + 0.545

Combine like terms: -0.545 + 0.545 = 0.000
0.000 + 0.067k = 1 + 0.545
0.067k = 1 + 0.545

Combine like terms: 1 + 0.545 = 1.545
0.067k = 1.545

Divide each side by '0.067'.
k = 23.05970149

Simplifying
k = 23.05970149

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