4(4k-7)-2(5k+1)=4-2(k+3)

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Solution for 4(4k-7)-2(5k+1)=4-2(k+3) equation:


Simplifying
4(4k + -7) + -2(5k + 1) = 4 + -2(k + 3)

Reorder the terms:
4(-7 + 4k) + -2(5k + 1) = 4 + -2(k + 3)
(-7 * 4 + 4k * 4) + -2(5k + 1) = 4 + -2(k + 3)
(-28 + 16k) + -2(5k + 1) = 4 + -2(k + 3)

Reorder the terms:
-28 + 16k + -2(1 + 5k) = 4 + -2(k + 3)
-28 + 16k + (1 * -2 + 5k * -2) = 4 + -2(k + 3)
-28 + 16k + (-2 + -10k) = 4 + -2(k + 3)

Reorder the terms:
-28 + -2 + 16k + -10k = 4 + -2(k + 3)

Combine like terms: -28 + -2 = -30
-30 + 16k + -10k = 4 + -2(k + 3)

Combine like terms: 16k + -10k = 6k
-30 + 6k = 4 + -2(k + 3)

Reorder the terms:
-30 + 6k = 4 + -2(3 + k)
-30 + 6k = 4 + (3 * -2 + k * -2)
-30 + 6k = 4 + (-6 + -2k)

Combine like terms: 4 + -6 = -2
-30 + 6k = -2 + -2k

Solving
-30 + 6k = -2 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
-30 + 6k + 2k = -2 + -2k + 2k

Combine like terms: 6k + 2k = 8k
-30 + 8k = -2 + -2k + 2k

Combine like terms: -2k + 2k = 0
-30 + 8k = -2 + 0
-30 + 8k = -2

Add '30' to each side of the equation.
-30 + 30 + 8k = -2 + 30

Combine like terms: -30 + 30 = 0
0 + 8k = -2 + 30
8k = -2 + 30

Combine like terms: -2 + 30 = 28
8k = 28

Divide each side by '8'.
k = 3.5

Simplifying
k = 3.5

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