5(4k-2)+7(4-3k)=17

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Solution for 5(4k-2)+7(4-3k)=17 equation:


Simplifying
5(4k + -2) + 7(4 + -3k) = 17

Reorder the terms:
5(-2 + 4k) + 7(4 + -3k) = 17
(-2 * 5 + 4k * 5) + 7(4 + -3k) = 17
(-10 + 20k) + 7(4 + -3k) = 17
-10 + 20k + (4 * 7 + -3k * 7) = 17
-10 + 20k + (28 + -21k) = 17

Reorder the terms:
-10 + 28 + 20k + -21k = 17

Combine like terms: -10 + 28 = 18
18 + 20k + -21k = 17

Combine like terms: 20k + -21k = -1k
18 + -1k = 17

Solving
18 + -1k = 17

Solving for variable 'k'.

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

Add '-18' to each side of the equation.
18 + -18 + -1k = 17 + -18

Combine like terms: 18 + -18 = 0
0 + -1k = 17 + -18
-1k = 17 + -18

Combine like terms: 17 + -18 = -1
-1k = -1

Divide each side by '-1'.
k = 1

Simplifying
k = 1

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