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

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


Simplifying
1 + 4k = -2(1 + -3k) + -7
1 + 4k = (1 * -2 + -3k * -2) + -7
1 + 4k = (-2 + 6k) + -7

Reorder the terms:
1 + 4k = -2 + -7 + 6k

Combine like terms: -2 + -7 = -9
1 + 4k = -9 + 6k

Solving
1 + 4k = -9 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
1 + 4k + -6k = -9 + 6k + -6k

Combine like terms: 4k + -6k = -2k
1 + -2k = -9 + 6k + -6k

Combine like terms: 6k + -6k = 0
1 + -2k = -9 + 0
1 + -2k = -9

Add '-1' to each side of the equation.
1 + -1 + -2k = -9 + -1

Combine like terms: 1 + -1 = 0
0 + -2k = -9 + -1
-2k = -9 + -1

Combine like terms: -9 + -1 = -10
-2k = -10

Divide each side by '-2'.
k = 5

Simplifying
k = 5

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