0.002(4-k)+0.07(k-8)=1

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Solution for 0.002(4-k)+0.07(k-8)=1 equation:


Simplifying
0.002(4 + -1k) + 0.07(k + -8) = 1
(4 * 0.002 + -1k * 0.002) + 0.07(k + -8) = 1
(0.008 + -0.002k) + 0.07(k + -8) = 1

Reorder the terms:
0.008 + -0.002k + 0.07(-8 + k) = 1
0.008 + -0.002k + (-8 * 0.07 + k * 0.07) = 1
0.008 + -0.002k + (-0.56 + 0.07k) = 1

Reorder the terms:
0.008 + -0.56 + -0.002k + 0.07k = 1

Combine like terms: 0.008 + -0.56 = -0.552
-0.552 + -0.002k + 0.07k = 1

Combine like terms: -0.002k + 0.07k = 0.068k
-0.552 + 0.068k = 1

Solving
-0.552 + 0.068k = 1

Solving for variable 'k'.

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

Add '0.552' to each side of the equation.
-0.552 + 0.552 + 0.068k = 1 + 0.552

Combine like terms: -0.552 + 0.552 = 0.000
0.000 + 0.068k = 1 + 0.552
0.068k = 1 + 0.552

Combine like terms: 1 + 0.552 = 1.552
0.068k = 1.552

Divide each side by '0.068'.
k = 22.82352941

Simplifying
k = 22.82352941

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