5(4+2k)=8(3k-2)-4(1+k)

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Solution for 5(4+2k)=8(3k-2)-4(1+k) equation:


Simplifying
5(4 + 2k) = 8(3k + -2) + -4(1 + k)
(4 * 5 + 2k * 5) = 8(3k + -2) + -4(1 + k)
(20 + 10k) = 8(3k + -2) + -4(1 + k)

Reorder the terms:
20 + 10k = 8(-2 + 3k) + -4(1 + k)
20 + 10k = (-2 * 8 + 3k * 8) + -4(1 + k)
20 + 10k = (-16 + 24k) + -4(1 + k)
20 + 10k = -16 + 24k + (1 * -4 + k * -4)
20 + 10k = -16 + 24k + (-4 + -4k)

Reorder the terms:
20 + 10k = -16 + -4 + 24k + -4k

Combine like terms: -16 + -4 = -20
20 + 10k = -20 + 24k + -4k

Combine like terms: 24k + -4k = 20k
20 + 10k = -20 + 20k

Solving
20 + 10k = -20 + 20k

Solving for variable 'k'.

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

Add '-20k' to each side of the equation.
20 + 10k + -20k = -20 + 20k + -20k

Combine like terms: 10k + -20k = -10k
20 + -10k = -20 + 20k + -20k

Combine like terms: 20k + -20k = 0
20 + -10k = -20 + 0
20 + -10k = -20

Add '-20' to each side of the equation.
20 + -20 + -10k = -20 + -20

Combine like terms: 20 + -20 = 0
0 + -10k = -20 + -20
-10k = -20 + -20

Combine like terms: -20 + -20 = -40
-10k = -40

Divide each side by '-10'.
k = 4

Simplifying
k = 4

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