56=-8(8-2k)-6(-3-3k)

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Solution for 56=-8(8-2k)-6(-3-3k) equation:


Simplifying
56 = -8(8 + -2k) + -6(-3 + -3k)
56 = (8 * -8 + -2k * -8) + -6(-3 + -3k)
56 = (-64 + 16k) + -6(-3 + -3k)
56 = -64 + 16k + (-3 * -6 + -3k * -6)
56 = -64 + 16k + (18 + 18k)

Reorder the terms:
56 = -64 + 18 + 16k + 18k

Combine like terms: -64 + 18 = -46
56 = -46 + 16k + 18k

Combine like terms: 16k + 18k = 34k
56 = -46 + 34k

Solving
56 = -46 + 34k

Solving for variable 'k'.

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

Add '-34k' to each side of the equation.
56 + -34k = -46 + 34k + -34k

Combine like terms: 34k + -34k = 0
56 + -34k = -46 + 0
56 + -34k = -46

Add '-56' to each side of the equation.
56 + -56 + -34k = -46 + -56

Combine like terms: 56 + -56 = 0
0 + -34k = -46 + -56
-34k = -46 + -56

Combine like terms: -46 + -56 = -102
-34k = -102

Divide each side by '-34'.
k = 3

Simplifying
k = 3

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