-8[(5k+6)-(3k-4)]=9(7-k)-7

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Solution for -8[(5k+6)-(3k-4)]=9(7-k)-7 equation:


Simplifying
-8[(5k + 6) + -1(3k + -4)] = 9(7 + -1k) + -7

Reorder the terms:
-8[(6 + 5k) + -1(3k + -4)] = 9(7 + -1k) + -7

Remove parenthesis around (6 + 5k)
-8[6 + 5k + -1(3k + -4)] = 9(7 + -1k) + -7

Reorder the terms:
-8[6 + 5k + -1(-4 + 3k)] = 9(7 + -1k) + -7
-8[6 + 5k + (-4 * -1 + 3k * -1)] = 9(7 + -1k) + -7
-8[6 + 5k + (4 + -3k)] = 9(7 + -1k) + -7

Reorder the terms:
-8[6 + 4 + 5k + -3k] = 9(7 + -1k) + -7

Combine like terms: 6 + 4 = 10
-8[10 + 5k + -3k] = 9(7 + -1k) + -7

Combine like terms: 5k + -3k = 2k
-8[10 + 2k] = 9(7 + -1k) + -7
[10 * -8 + 2k * -8] = 9(7 + -1k) + -7
[-80 + -16k] = 9(7 + -1k) + -7
-80 + -16k = (7 * 9 + -1k * 9) + -7
-80 + -16k = (63 + -9k) + -7

Reorder the terms:
-80 + -16k = 63 + -7 + -9k

Combine like terms: 63 + -7 = 56
-80 + -16k = 56 + -9k

Solving
-80 + -16k = 56 + -9k

Solving for variable 'k'.

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

Add '9k' to each side of the equation.
-80 + -16k + 9k = 56 + -9k + 9k

Combine like terms: -16k + 9k = -7k
-80 + -7k = 56 + -9k + 9k

Combine like terms: -9k + 9k = 0
-80 + -7k = 56 + 0
-80 + -7k = 56

Add '80' to each side of the equation.
-80 + 80 + -7k = 56 + 80

Combine like terms: -80 + 80 = 0
0 + -7k = 56 + 80
-7k = 56 + 80

Combine like terms: 56 + 80 = 136
-7k = 136

Divide each side by '-7'.
k = -19.42857143

Simplifying
k = -19.42857143

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