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

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


Simplifying
6(10 + -1k) + 10 = -10(k + -3) + -2
(10 * 6 + -1k * 6) + 10 = -10(k + -3) + -2
(60 + -6k) + 10 = -10(k + -3) + -2

Reorder the terms:
60 + 10 + -6k = -10(k + -3) + -2

Combine like terms: 60 + 10 = 70
70 + -6k = -10(k + -3) + -2

Reorder the terms:
70 + -6k = -10(-3 + k) + -2
70 + -6k = (-3 * -10 + k * -10) + -2
70 + -6k = (30 + -10k) + -2

Reorder the terms:
70 + -6k = 30 + -2 + -10k

Combine like terms: 30 + -2 = 28
70 + -6k = 28 + -10k

Solving
70 + -6k = 28 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
70 + -6k + 10k = 28 + -10k + 10k

Combine like terms: -6k + 10k = 4k
70 + 4k = 28 + -10k + 10k

Combine like terms: -10k + 10k = 0
70 + 4k = 28 + 0
70 + 4k = 28

Add '-70' to each side of the equation.
70 + -70 + 4k = 28 + -70

Combine like terms: 70 + -70 = 0
0 + 4k = 28 + -70
4k = 28 + -70

Combine like terms: 28 + -70 = -42
4k = -42

Divide each side by '4'.
k = -10.5

Simplifying
k = -10.5

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