8k-6k=-10(k+3)+3(-2k+4)

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Solution for 8k-6k=-10(k+3)+3(-2k+4) equation:


Simplifying
8k + -6k = -10(k + 3) + 3(-2k + 4)

Combine like terms: 8k + -6k = 2k
2k = -10(k + 3) + 3(-2k + 4)

Reorder the terms:
2k = -10(3 + k) + 3(-2k + 4)
2k = (3 * -10 + k * -10) + 3(-2k + 4)
2k = (-30 + -10k) + 3(-2k + 4)

Reorder the terms:
2k = -30 + -10k + 3(4 + -2k)
2k = -30 + -10k + (4 * 3 + -2k * 3)
2k = -30 + -10k + (12 + -6k)

Reorder the terms:
2k = -30 + 12 + -10k + -6k

Combine like terms: -30 + 12 = -18
2k = -18 + -10k + -6k

Combine like terms: -10k + -6k = -16k
2k = -18 + -16k

Solving
2k = -18 + -16k

Solving for variable 'k'.

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

Add '16k' to each side of the equation.
2k + 16k = -18 + -16k + 16k

Combine like terms: 2k + 16k = 18k
18k = -18 + -16k + 16k

Combine like terms: -16k + 16k = 0
18k = -18 + 0
18k = -18

Divide each side by '18'.
k = -1

Simplifying
k = -1

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