(7-2k)+3(5-3k)=k+8

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Solution for (7-2k)+3(5-3k)=k+8 equation:


Simplifying
(7 + -2k) + 3(5 + -3k) = k + 8

Remove parenthesis around (7 + -2k)
7 + -2k + 3(5 + -3k) = k + 8
7 + -2k + (5 * 3 + -3k * 3) = k + 8
7 + -2k + (15 + -9k) = k + 8

Reorder the terms:
7 + 15 + -2k + -9k = k + 8

Combine like terms: 7 + 15 = 22
22 + -2k + -9k = k + 8

Combine like terms: -2k + -9k = -11k
22 + -11k = k + 8

Reorder the terms:
22 + -11k = 8 + k

Solving
22 + -11k = 8 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
22 + -11k + -1k = 8 + k + -1k

Combine like terms: -11k + -1k = -12k
22 + -12k = 8 + k + -1k

Combine like terms: k + -1k = 0
22 + -12k = 8 + 0
22 + -12k = 8

Add '-22' to each side of the equation.
22 + -22 + -12k = 8 + -22

Combine like terms: 22 + -22 = 0
0 + -12k = 8 + -22
-12k = 8 + -22

Combine like terms: 8 + -22 = -14
-12k = -14

Divide each side by '-12'.
k = 1.166666667

Simplifying
k = 1.166666667

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