0.09(2-k)+0.07(k-2)=1

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Solution for 0.09(2-k)+0.07(k-2)=1 equation: 


Simplifying
0.09(2 + -1k) + 0.07(k + -2) = 1
(2 * 0.09 + -1k * 0.09) + 0.07(k + -2) = 1
(0.18 + -0.09k) + 0.07(k + -2) = 1

Reorder the terms:
0.18 + -0.09k + 0.07(-2 + k) = 1
0.18 + -0.09k + (-2 * 0.07 + k * 0.07) = 1
0.18 + -0.09k + (-0.14 + 0.07k) = 1

Reorder the terms:
0.18 + -0.14 + -0.09k + 0.07k = 1

Combine like terms: 0.18 + -0.14 = 0.04
0.04 + -0.09k + 0.07k = 1

Combine like terms: -0.09k + 0.07k = -0.02k
0.04 + -0.02k = 1

Solving
0.04 + -0.02k = 1

Solving for variable 'k'.

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

Add '-0.04' to each side of the equation.
0.04 + -0.04 + -0.02k = 1 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + -0.02k = 1 + -0.04
-0.02k = 1 + -0.04

Combine like terms: 1 + -0.04 = 0.96
-0.02k = 0.96

Divide each side by '-0.02'.
k = -48

Simplifying
k = -48

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