-30(28k-79)+34(1-16k)=-364

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Solution for -30(28k-79)+34(1-16k)=-364 equation: 


Simplifying
-30(28k + -79) + 34(1 + -16k) = -364

Reorder the terms:
-30(-79 + 28k) + 34(1 + -16k) = -364
(-79 * -30 + 28k * -30) + 34(1 + -16k) = -364
(2370 + -840k) + 34(1 + -16k) = -364
2370 + -840k + (1 * 34 + -16k * 34) = -364
2370 + -840k + (34 + -544k) = -364

Reorder the terms:
2370 + 34 + -840k + -544k = -364

Combine like terms: 2370 + 34 = 2404
2404 + -840k + -544k = -364

Combine like terms: -840k + -544k = -1384k
2404 + -1384k = -364

Solving
2404 + -1384k = -364

Solving for variable 'k'.

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

Add '-2404' to each side of the equation.
2404 + -2404 + -1384k = -364 + -2404

Combine like terms: 2404 + -2404 = 0
0 + -1384k = -364 + -2404
-1384k = -364 + -2404

Combine like terms: -364 + -2404 = -2768
-1384k = -2768

Divide each side by '-1384'.
k = 2

Simplifying
k = 2

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