5k+9=3(k-5)+7

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Solution for 5k+9=3(k-5)+7 equation:


Simplifying
5k + 9 = 3(k + -5) + 7

Reorder the terms:
9 + 5k = 3(k + -5) + 7

Reorder the terms:
9 + 5k = 3(-5 + k) + 7
9 + 5k = (-5 * 3 + k * 3) + 7
9 + 5k = (-15 + 3k) + 7

Reorder the terms:
9 + 5k = -15 + 7 + 3k

Combine like terms: -15 + 7 = -8
9 + 5k = -8 + 3k

Solving
9 + 5k = -8 + 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.
9 + 5k + -3k = -8 + 3k + -3k

Combine like terms: 5k + -3k = 2k
9 + 2k = -8 + 3k + -3k

Combine like terms: 3k + -3k = 0
9 + 2k = -8 + 0
9 + 2k = -8

Add '-9' to each side of the equation.
9 + -9 + 2k = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 2k = -8 + -9
2k = -8 + -9

Combine like terms: -8 + -9 = -17
2k = -17

Divide each side by '2'.
k = -8.5

Simplifying
k = -8.5

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