.006(7-k)+.08(k-4)=1

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Solution for .006(7-k)+.08(k-4)=1 equation:


Simplifying
0.006(7 + -1k) + 0.08(k + -4) = 1
(7 * 0.006 + -1k * 0.006) + 0.08(k + -4) = 1
(0.042 + -0.006k) + 0.08(k + -4) = 1

Reorder the terms:
0.042 + -0.006k + 0.08(-4 + k) = 1
0.042 + -0.006k + (-4 * 0.08 + k * 0.08) = 1
0.042 + -0.006k + (-0.32 + 0.08k) = 1

Reorder the terms:
0.042 + -0.32 + -0.006k + 0.08k = 1

Combine like terms: 0.042 + -0.32 = -0.278
-0.278 + -0.006k + 0.08k = 1

Combine like terms: -0.006k + 0.08k = 0.074k
-0.278 + 0.074k = 1

Solving
-0.278 + 0.074k = 1

Solving for variable 'k'.

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

Add '0.278' to each side of the equation.
-0.278 + 0.278 + 0.074k = 1 + 0.278

Combine like terms: -0.278 + 0.278 = 0.000
0.000 + 0.074k = 1 + 0.278
0.074k = 1 + 0.278

Combine like terms: 1 + 0.278 = 1.278
0.074k = 1.278

Divide each side by '0.074'.
k = 17.27027027

Simplifying
k = 17.27027027

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