.005(3-k)+.05(k-7)=1

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Solution for .005(3-k)+.05(k-7)=1 equation:


Simplifying
0.005(3 + -1k) + 0.05(k + -7) = 1
(3 * 0.005 + -1k * 0.005) + 0.05(k + -7) = 1
(0.015 + -0.005k) + 0.05(k + -7) = 1

Reorder the terms:
0.015 + -0.005k + 0.05(-7 + k) = 1
0.015 + -0.005k + (-7 * 0.05 + k * 0.05) = 1
0.015 + -0.005k + (-0.35 + 0.05k) = 1

Reorder the terms:
0.015 + -0.35 + -0.005k + 0.05k = 1

Combine like terms: 0.015 + -0.35 = -0.335
-0.335 + -0.005k + 0.05k = 1

Combine like terms: -0.005k + 0.05k = 0.045k
-0.335 + 0.045k = 1

Solving
-0.335 + 0.045k = 1

Solving for variable 'k'.

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

Add '0.335' to each side of the equation.
-0.335 + 0.335 + 0.045k = 1 + 0.335

Combine like terms: -0.335 + 0.335 = 0.000
0.000 + 0.045k = 1 + 0.335
0.045k = 1 + 0.335

Combine like terms: 1 + 0.335 = 1.335
0.045k = 1.335

Divide each side by '0.045'.
k = 29.66666667

Simplifying
k = 29.66666667

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