5(8+3k)-4(1-2k)=59

Solution for 5(8+3k)-4(1-2k)=59 equation:

Simplifying
5(8 + 3k) + -4(1 + -2k) = 59
(8 * 5 + 3k * 5) + -4(1 + -2k) = 59
(40 + 15k) + -4(1 + -2k) = 59
40 + 15k + (1 * -4 + -2k * -4) = 59
40 + 15k + (-4 + 8k) = 59

Reorder the terms:
40 + -4 + 15k + 8k = 59

Combine like terms: 40 + -4 = 36
36 + 15k + 8k = 59

Combine like terms: 15k + 8k = 23k
36 + 23k = 59

Solving
36 + 23k = 59

Solving for variable 'k'.

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

Add '-36' to each side of the equation.
36 + -36 + 23k = 59 + -36

Combine like terms: 36 + -36 = 0
0 + 23k = 59 + -36
23k = 59 + -36

Combine like terms: 59 + -36 = 23
23k = 23

Divide each side by '23'.
k = 1

Simplifying
k = 1