8(k+2)-(7k-6)=-7

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Solution for 8(k+2)-(7k-6)=-7 equation:


Simplifying
8(k + 2) + -1(7k + -6) = -7

Reorder the terms:
8(2 + k) + -1(7k + -6) = -7
(2 * 8 + k * 8) + -1(7k + -6) = -7
(16 + 8k) + -1(7k + -6) = -7

Reorder the terms:
16 + 8k + -1(-6 + 7k) = -7
16 + 8k + (-6 * -1 + 7k * -1) = -7
16 + 8k + (6 + -7k) = -7

Reorder the terms:
16 + 6 + 8k + -7k = -7

Combine like terms: 16 + 6 = 22
22 + 8k + -7k = -7

Combine like terms: 8k + -7k = 1k
22 + 1k = -7

Solving
22 + 1k = -7

Solving for variable 'k'.

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

Add '-22' to each side of the equation.
22 + -22 + 1k = -7 + -22

Combine like terms: 22 + -22 = 0
0 + 1k = -7 + -22
1k = -7 + -22

Combine like terms: -7 + -22 = -29
1k = -29

Divide each side by '1'.
k = -29

Simplifying
k = -29

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