-4+4(4k-3)-6(2k+8)+7=

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Solution for -4+4(4k-3)-6(2k+8)+7= equation: 


Simplifying
-4 + 4(4k + -3) + -6(2k + 8) + 7 = 0

Reorder the terms:
-4 + 4(-3 + 4k) + -6(2k + 8) + 7 = 0
-4 + (-3 * 4 + 4k * 4) + -6(2k + 8) + 7 = 0
-4 + (-12 + 16k) + -6(2k + 8) + 7 = 0

Reorder the terms:
-4 + -12 + 16k + -6(8 + 2k) + 7 = 0
-4 + -12 + 16k + (8 * -6 + 2k * -6) + 7 = 0
-4 + -12 + 16k + (-48 + -12k) + 7 = 0

Reorder the terms:
-4 + -12 + -48 + 7 + 16k + -12k = 0

Combine like terms: -4 + -12 = -16
-16 + -48 + 7 + 16k + -12k = 0

Combine like terms: -16 + -48 = -64
-64 + 7 + 16k + -12k = 0

Combine like terms: -64 + 7 = -57
-57 + 16k + -12k = 0

Combine like terms: 16k + -12k = 4k
-57 + 4k = 0

Solving
-57 + 4k = 0

Solving for variable 'k'.

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

Add '57' to each side of the equation.
-57 + 57 + 4k = 0 + 57

Combine like terms: -57 + 57 = 0
0 + 4k = 0 + 57
4k = 0 + 57

Combine like terms: 0 + 57 = 57
4k = 57

Divide each side by '4'.
k = 14.25

Simplifying
k = 14.25

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