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

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


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

Reorder the terms:
-4(-4 + 5k) = -3(2 + 5k) + 7
(-4 * -4 + 5k * -4) = -3(2 + 5k) + 7
(16 + -20k) = -3(2 + 5k) + 7
16 + -20k = (2 * -3 + 5k * -3) + 7
16 + -20k = (-6 + -15k) + 7

Reorder the terms:
16 + -20k = -6 + 7 + -15k

Combine like terms: -6 + 7 = 1
16 + -20k = 1 + -15k

Solving
16 + -20k = 1 + -15k

Solving for variable 'k'.

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

Add '15k' to each side of the equation.
16 + -20k + 15k = 1 + -15k + 15k

Combine like terms: -20k + 15k = -5k
16 + -5k = 1 + -15k + 15k

Combine like terms: -15k + 15k = 0
16 + -5k = 1 + 0
16 + -5k = 1

Add '-16' to each side of the equation.
16 + -16 + -5k = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -5k = 1 + -16
-5k = 1 + -16

Combine like terms: 1 + -16 = -15
-5k = -15

Divide each side by '-5'.
k = 3

Simplifying
k = 3

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