8(k+6)-(7k+8)=4

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Solution for 8(k+6)-(7k+8)=4 equation:


Simplifying
8(k + 6) + -1(7k + 8) = 4

Reorder the terms:
8(6 + k) + -1(7k + 8) = 4
(6 * 8 + k * 8) + -1(7k + 8) = 4
(48 + 8k) + -1(7k + 8) = 4

Reorder the terms:
48 + 8k + -1(8 + 7k) = 4
48 + 8k + (8 * -1 + 7k * -1) = 4
48 + 8k + (-8 + -7k) = 4

Reorder the terms:
48 + -8 + 8k + -7k = 4

Combine like terms: 48 + -8 = 40
40 + 8k + -7k = 4

Combine like terms: 8k + -7k = 1k
40 + 1k = 4

Solving
40 + 1k = 4

Solving for variable 'k'.

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

Add '-40' to each side of the equation.
40 + -40 + 1k = 4 + -40

Combine like terms: 40 + -40 = 0
0 + 1k = 4 + -40
1k = 4 + -40

Combine like terms: 4 + -40 = -36
1k = -36

Divide each side by '1'.
k = -36

Simplifying
k = -36

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