5(k+.3)=2k+k+9.5

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Solution for 5(k+.3)=2k+k+9.5 equation:


Simplifying
5(k + 0.3) = 2k + k + 9.5

Reorder the terms:
5(0.3 + k) = 2k + k + 9.5
(0.3 * 5 + k * 5) = 2k + k + 9.5
(1.5 + 5k) = 2k + k + 9.5

Reorder the terms:
1.5 + 5k = 9.5 + 2k + k

Combine like terms: 2k + k = 3k
1.5 + 5k = 9.5 + 3k

Solving
1.5 + 5k = 9.5 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
1.5 + 5k + -3k = 9.5 + 3k + -3k

Combine like terms: 5k + -3k = 2k
1.5 + 2k = 9.5 + 3k + -3k

Combine like terms: 3k + -3k = 0
1.5 + 2k = 9.5 + 0
1.5 + 2k = 9.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 2k = 9.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2k = 9.5 + -1.5
2k = 9.5 + -1.5

Combine like terms: 9.5 + -1.5 = 8
2k = 8

Divide each side by '2'.
k = 4

Simplifying
k = 4

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