.006(6-k)+.03(k-9)=1

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Solution for .006(6-k)+.03(k-9)=1 equation:


Simplifying
0.006(6 + -1k) + 0.03(k + -9) = 1
(6 * 0.006 + -1k * 0.006) + 0.03(k + -9) = 1
(0.036 + -0.006k) + 0.03(k + -9) = 1

Reorder the terms:
0.036 + -0.006k + 0.03(-9 + k) = 1
0.036 + -0.006k + (-9 * 0.03 + k * 0.03) = 1
0.036 + -0.006k + (-0.27 + 0.03k) = 1

Reorder the terms:
0.036 + -0.27 + -0.006k + 0.03k = 1

Combine like terms: 0.036 + -0.27 = -0.234
-0.234 + -0.006k + 0.03k = 1

Combine like terms: -0.006k + 0.03k = 0.024k
-0.234 + 0.024k = 1

Solving
-0.234 + 0.024k = 1

Solving for variable 'k'.

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

Add '0.234' to each side of the equation.
-0.234 + 0.234 + 0.024k = 1 + 0.234

Combine like terms: -0.234 + 0.234 = 0.000
0.000 + 0.024k = 1 + 0.234
0.024k = 1 + 0.234

Combine like terms: 1 + 0.234 = 1.234
0.024k = 1.234

Divide each side by '0.024'.
k = 51.41666667

Simplifying
k = 51.41666667

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