-8(1+2k)+3(k-8)=-19

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Solution for -8(1+2k)+3(k-8)=-19 equation:


Simplifying
-8(1 + 2k) + 3(k + -8) = -19
(1 * -8 + 2k * -8) + 3(k + -8) = -19
(-8 + -16k) + 3(k + -8) = -19

Reorder the terms:
-8 + -16k + 3(-8 + k) = -19
-8 + -16k + (-8 * 3 + k * 3) = -19
-8 + -16k + (-24 + 3k) = -19

Reorder the terms:
-8 + -24 + -16k + 3k = -19

Combine like terms: -8 + -24 = -32
-32 + -16k + 3k = -19

Combine like terms: -16k + 3k = -13k
-32 + -13k = -19

Solving
-32 + -13k = -19

Solving for variable 'k'.

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

Add '32' to each side of the equation.
-32 + 32 + -13k = -19 + 32

Combine like terms: -32 + 32 = 0
0 + -13k = -19 + 32
-13k = -19 + 32

Combine like terms: -19 + 32 = 13
-13k = 13

Divide each side by '-13'.
k = -1

Simplifying
k = -1

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