10(1+4k)+2(2k-9)=-8

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Solution for 10(1+4k)+2(2k-9)=-8 equation: 


Simplifying
10(1 + 4k) + 2(2k + -9) = -8
(1 * 10 + 4k * 10) + 2(2k + -9) = -8
(10 + 40k) + 2(2k + -9) = -8

Reorder the terms:
10 + 40k + 2(-9 + 2k) = -8
10 + 40k + (-9 * 2 + 2k * 2) = -8
10 + 40k + (-18 + 4k) = -8

Reorder the terms:
10 + -18 + 40k + 4k = -8

Combine like terms: 10 + -18 = -8
-8 + 40k + 4k = -8

Combine like terms: 40k + 4k = 44k
-8 + 44k = -8

Add '8' to each side of the equation.
-8 + 8 + 44k = -8 + 8

Combine like terms: -8 + 8 = 0
0 + 44k = -8 + 8
44k = -8 + 8

Combine like terms: -8 + 8 = 0
44k = 0

Solving
44k = 0

Solving for variable 'k'.

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

Divide each side by '44'.
k = 0

Simplifying
k = 0

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