0.04(k+10)+0.06(k-30)=7.6

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Solution for 0.04(k+10)+0.06(k-30)=7.6 equation: 


Simplifying
0.04(k + 10) + 0.06(k + -30) = 7.6

Reorder the terms:
0.04(10 + k) + 0.06(k + -30) = 7.6
(10 * 0.04 + k * 0.04) + 0.06(k + -30) = 7.6
(0.4 + 0.04k) + 0.06(k + -30) = 7.6

Reorder the terms:
0.4 + 0.04k + 0.06(-30 + k) = 7.6
0.4 + 0.04k + (-30 * 0.06 + k * 0.06) = 7.6
0.4 + 0.04k + (-1.8 + 0.06k) = 7.6

Reorder the terms:
0.4 + -1.8 + 0.04k + 0.06k = 7.6

Combine like terms: 0.4 + -1.8 = -1.4
-1.4 + 0.04k + 0.06k = 7.6

Combine like terms: 0.04k + 0.06k = 0.1k
-1.4 + 0.1k = 7.6

Solving
-1.4 + 0.1k = 7.6

Solving for variable 'k'.

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

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.1k = 7.6 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.1k = 7.6 + 1.4
0.1k = 7.6 + 1.4

Combine like terms: 7.6 + 1.4 = 9
0.1k = 9

Divide each side by '0.1'.
k = 90

Simplifying
k = 90

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