5(k-3)-(4k-7)=9

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Solution for 5(k-3)-(4k-7)=9 equation:


Simplifying
5(k + -3) + -1(4k + -7) = 9

Reorder the terms:
5(-3 + k) + -1(4k + -7) = 9
(-3 * 5 + k * 5) + -1(4k + -7) = 9
(-15 + 5k) + -1(4k + -7) = 9

Reorder the terms:
-15 + 5k + -1(-7 + 4k) = 9
-15 + 5k + (-7 * -1 + 4k * -1) = 9
-15 + 5k + (7 + -4k) = 9

Reorder the terms:
-15 + 7 + 5k + -4k = 9

Combine like terms: -15 + 7 = -8
-8 + 5k + -4k = 9

Combine like terms: 5k + -4k = 1k
-8 + 1k = 9

Solving
-8 + 1k = 9

Solving for variable 'k'.

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

Add '8' to each side of the equation.
-8 + 8 + 1k = 9 + 8

Combine like terms: -8 + 8 = 0
0 + 1k = 9 + 8
1k = 9 + 8

Combine like terms: 9 + 8 = 17
1k = 17

Divide each side by '1'.
k = 17

Simplifying
k = 17

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