1+0.9k=4.402+2.15k-8.052+3.4

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Solution for 1+0.9k=4.402+2.15k-8.052+3.4 equation:


Simplifying
1 + 0.9k = 4.402 + 2.15k + -8.052 + 3.4

Reorder the terms:
1 + 0.9k = 4.402 + -8.052 + 3.4 + 2.15k

Combine like terms: 4.402 + -8.052 = -3.65
1 + 0.9k = -3.65 + 3.4 + 2.15k

Combine like terms: -3.65 + 3.4 = -0.25
1 + 0.9k = -0.25 + 2.15k

Solving
1 + 0.9k = -0.25 + 2.15k

Solving for variable 'k'.

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

Add '-2.15k' to each side of the equation.
1 + 0.9k + -2.15k = -0.25 + 2.15k + -2.15k

Combine like terms: 0.9k + -2.15k = -1.25k
1 + -1.25k = -0.25 + 2.15k + -2.15k

Combine like terms: 2.15k + -2.15k = 0.00
1 + -1.25k = -0.25 + 0.00
1 + -1.25k = -0.25

Add '-1' to each side of the equation.
1 + -1 + -1.25k = -0.25 + -1

Combine like terms: 1 + -1 = 0
0 + -1.25k = -0.25 + -1
-1.25k = -0.25 + -1

Combine like terms: -0.25 + -1 = -1.25
-1.25k = -1.25

Divide each side by '-1.25'.
k = 1

Simplifying
k = 1

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