.004(8-k)+.04(k-7)=1

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Solution for .004(8-k)+.04(k-7)=1 equation: 


Simplifying
0.004(8 + -1k) + 0.04(k + -7) = 1
(8 * 0.004 + -1k * 0.004) + 0.04(k + -7) = 1
(0.032 + -0.004k) + 0.04(k + -7) = 1

Reorder the terms:
0.032 + -0.004k + 0.04(-7 + k) = 1
0.032 + -0.004k + (-7 * 0.04 + k * 0.04) = 1
0.032 + -0.004k + (-0.28 + 0.04k) = 1

Reorder the terms:
0.032 + -0.28 + -0.004k + 0.04k = 1

Combine like terms: 0.032 + -0.28 = -0.248
-0.248 + -0.004k + 0.04k = 1

Combine like terms: -0.004k + 0.04k = 0.036k
-0.248 + 0.036k = 1

Solving
-0.248 + 0.036k = 1

Solving for variable 'k'.

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

Add '0.248' to each side of the equation.
-0.248 + 0.248 + 0.036k = 1 + 0.248

Combine like terms: -0.248 + 0.248 = 0.000
0.000 + 0.036k = 1 + 0.248
0.036k = 1 + 0.248

Combine like terms: 1 + 0.248 = 1.248
0.036k = 1.248

Divide each side by '0.036'.
k = 34.66666667

Simplifying
k = 34.66666667

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