0.009(4-k)+0.04(k-3)=1

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Solution for 0.009(4-k)+0.04(k-3)=1 equation:


Simplifying
0.009(4 + -1k) + 0.04(k + -3) = 1
(4 * 0.009 + -1k * 0.009) + 0.04(k + -3) = 1
(0.036 + -0.009k) + 0.04(k + -3) = 1

Reorder the terms:
0.036 + -0.009k + 0.04(-3 + k) = 1
0.036 + -0.009k + (-3 * 0.04 + k * 0.04) = 1
0.036 + -0.009k + (-0.12 + 0.04k) = 1

Reorder the terms:
0.036 + -0.12 + -0.009k + 0.04k = 1

Combine like terms: 0.036 + -0.12 = -0.084
-0.084 + -0.009k + 0.04k = 1

Combine like terms: -0.009k + 0.04k = 0.031k
-0.084 + 0.031k = 1

Solving
-0.084 + 0.031k = 1

Solving for variable 'k'.

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

Add '0.084' to each side of the equation.
-0.084 + 0.084 + 0.031k = 1 + 0.084

Combine like terms: -0.084 + 0.084 = 0.000
0.000 + 0.031k = 1 + 0.084
0.031k = 1 + 0.084

Combine like terms: 1 + 0.084 = 1.084
0.031k = 1.084

Divide each side by '0.031'.
k = 34.96774194

Simplifying
k = 34.96774194

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