-2(k+8)-(-3k-9)=-1

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Solution for -2(k+8)-(-3k-9)=-1 equation:


Simplifying
-2(k + 8) + -1(-3k + -9) = -1

Reorder the terms:
-2(8 + k) + -1(-3k + -9) = -1
(8 * -2 + k * -2) + -1(-3k + -9) = -1
(-16 + -2k) + -1(-3k + -9) = -1

Reorder the terms:
-16 + -2k + -1(-9 + -3k) = -1
-16 + -2k + (-9 * -1 + -3k * -1) = -1
-16 + -2k + (9 + 3k) = -1

Reorder the terms:
-16 + 9 + -2k + 3k = -1

Combine like terms: -16 + 9 = -7
-7 + -2k + 3k = -1

Combine like terms: -2k + 3k = 1k
-7 + 1k = -1

Solving
-7 + 1k = -1

Solving for variable 'k'.

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

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

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

Combine like terms: -1 + 7 = 6
1k = 6

Divide each side by '1'.
k = 6

Simplifying
k = 6

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