3(2+k)-5(1+7k)=-63

Solution for 3(2+k)-5(1+7k)=-63 equation:

Simplifying
3(2 + k) + -5(1 + 7k) = -63
(2 * 3 + k * 3) + -5(1 + 7k) = -63
(6 + 3k) + -5(1 + 7k) = -63
6 + 3k + (1 * -5 + 7k * -5) = -63
6 + 3k + (-5 + -35k) = -63

Reorder the terms:
6 + -5 + 3k + -35k = -63

Combine like terms: 6 + -5 = 1
1 + 3k + -35k = -63

Combine like terms: 3k + -35k = -32k
1 + -32k = -63

Solving
1 + -32k = -63

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + -32k = -63 + -1

Combine like terms: 1 + -1 = 0
0 + -32k = -63 + -1
-32k = -63 + -1

Combine like terms: -63 + -1 = -64
-32k = -64

Divide each side by '-32'.
k = 2

Simplifying
k = 2