1.2(k+3.8)+1.238(0.574k+5.1)=7.052576

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Solution for 1.2(k+3.8)+1.238(0.574k+5.1)=7.052576 equation: 


Simplifying
1.2(k + 3.8) + 1.238(0.574k + 5.1) = 7.052576

Reorder the terms:
1.2(3.8 + k) + 1.238(0.574k + 5.1) = 7.052576
(3.8 * 1.2 + k * 1.2) + 1.238(0.574k + 5.1) = 7.052576
(4.56 + 1.2k) + 1.238(0.574k + 5.1) = 7.052576

Reorder the terms:
4.56 + 1.2k + 1.238(5.1 + 0.574k) = 7.052576
4.56 + 1.2k + (5.1 * 1.238 + 0.574k * 1.238) = 7.052576
4.56 + 1.2k + (6.3138 + 0.710612k) = 7.052576

Reorder the terms:
4.56 + 6.3138 + 1.2k + 0.710612k = 7.052576

Combine like terms: 4.56 + 6.3138 = 10.8738
10.8738 + 1.2k + 0.710612k = 7.052576

Combine like terms: 1.2k + 0.710612k = 1.910612k
10.8738 + 1.910612k = 7.052576

Solving
10.8738 + 1.910612k = 7.052576

Solving for variable 'k'.

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

Add '-10.8738' to each side of the equation.
10.8738 + -10.8738 + 1.910612k = 7.052576 + -10.8738

Combine like terms: 10.8738 + -10.8738 = 0.0000
0.0000 + 1.910612k = 7.052576 + -10.8738
1.910612k = 7.052576 + -10.8738

Combine like terms: 7.052576 + -10.8738 = -3.821224
1.910612k = -3.821224

Divide each side by '1.910612'.
k = -2

Simplifying
k = -2

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