32=6(3-k)-8(k-7)

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Solution for 32=6(3-k)-8(k-7) equation: 


Simplifying
32 = 6(3 + -1k) + -8(k + -7)
32 = (3 * 6 + -1k * 6) + -8(k + -7)
32 = (18 + -6k) + -8(k + -7)

Reorder the terms:
32 = 18 + -6k + -8(-7 + k)
32 = 18 + -6k + (-7 * -8 + k * -8)
32 = 18 + -6k + (56 + -8k)

Reorder the terms:
32 = 18 + 56 + -6k + -8k

Combine like terms: 18 + 56 = 74
32 = 74 + -6k + -8k

Combine like terms: -6k + -8k = -14k
32 = 74 + -14k

Solving
32 = 74 + -14k

Solving for variable 'k'.

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

Add '14k' to each side of the equation.
32 + 14k = 74 + -14k + 14k

Combine like terms: -14k + 14k = 0
32 + 14k = 74 + 0
32 + 14k = 74

Add '-32' to each side of the equation.
32 + -32 + 14k = 74 + -32

Combine like terms: 32 + -32 = 0
0 + 14k = 74 + -32
14k = 74 + -32

Combine like terms: 74 + -32 = 42
14k = 42

Divide each side by '14'.
k = 3

Simplifying
k = 3

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