7(1+3k)-6(1-4k)=46

Solution for 7(1+3k)-6(1-4k)=46 equation:

Simplifying
7(1 + 3k) + -6(1 + -4k) = 46
(1 * 7 + 3k * 7) + -6(1 + -4k) = 46
(7 + 21k) + -6(1 + -4k) = 46
7 + 21k + (1 * -6 + -4k * -6) = 46
7 + 21k + (-6 + 24k) = 46

Reorder the terms:
7 + -6 + 21k + 24k = 46

Combine like terms: 7 + -6 = 1
1 + 21k + 24k = 46

Combine like terms: 21k + 24k = 45k
1 + 45k = 46

Solving
1 + 45k = 46

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 + 45k = 46 + -1

Combine like terms: 1 + -1 = 0
0 + 45k = 46 + -1
45k = 46 + -1

Combine like terms: 46 + -1 = 45
45k = 45

Divide each side by '45'.
k = 1

Simplifying
k = 1