-65=3(3k-6)-5(-4k-8)

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Solution for -65=3(3k-6)-5(-4k-8) equation:


Simplifying
-65 = 3(3k + -6) + -5(-4k + -8)

Reorder the terms:
-65 = 3(-6 + 3k) + -5(-4k + -8)
-65 = (-6 * 3 + 3k * 3) + -5(-4k + -8)
-65 = (-18 + 9k) + -5(-4k + -8)

Reorder the terms:
-65 = -18 + 9k + -5(-8 + -4k)
-65 = -18 + 9k + (-8 * -5 + -4k * -5)
-65 = -18 + 9k + (40 + 20k)

Reorder the terms:
-65 = -18 + 40 + 9k + 20k

Combine like terms: -18 + 40 = 22
-65 = 22 + 9k + 20k

Combine like terms: 9k + 20k = 29k
-65 = 22 + 29k

Solving
-65 = 22 + 29k

Solving for variable 'k'.

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

Add '-29k' to each side of the equation.
-65 + -29k = 22 + 29k + -29k

Combine like terms: 29k + -29k = 0
-65 + -29k = 22 + 0
-65 + -29k = 22

Add '65' to each side of the equation.
-65 + 65 + -29k = 22 + 65

Combine like terms: -65 + 65 = 0
0 + -29k = 22 + 65
-29k = 22 + 65

Combine like terms: 22 + 65 = 87
-29k = 87

Divide each side by '-29'.
k = -3

Simplifying
k = -3

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