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

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Solution for 9(k-6)-(8k-4)=-7 equation:


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

Reorder the terms:
9(-6 + k) + -1(8k + -4) = -7
(-6 * 9 + k * 9) + -1(8k + -4) = -7
(-54 + 9k) + -1(8k + -4) = -7

Reorder the terms:
-54 + 9k + -1(-4 + 8k) = -7
-54 + 9k + (-4 * -1 + 8k * -1) = -7
-54 + 9k + (4 + -8k) = -7

Reorder the terms:
-54 + 4 + 9k + -8k = -7

Combine like terms: -54 + 4 = -50
-50 + 9k + -8k = -7

Combine like terms: 9k + -8k = 1k
-50 + 1k = -7

Solving
-50 + 1k = -7

Solving for variable 'k'.

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

Add '50' to each side of the equation.
-50 + 50 + 1k = -7 + 50

Combine like terms: -50 + 50 = 0
0 + 1k = -7 + 50
1k = -7 + 50

Combine like terms: -7 + 50 = 43
1k = 43

Divide each side by '1'.
k = 43

Simplifying
k = 43

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