Answer:
k = 2
Explanation:
Simplifying
4(k + 5) = 2(9k + -4)
Reorder the terms:
4(5 + k) = 2(9k + -4)
(5 * 4 + k * 4) = 2(9k + -4)
(20 + 4k) = 2(9k + -4)
Reorder the terms:
20 + 4k = 2(-4 + 9k)
20 + 4k = (-4 * 2 + 9k * 2)
20 + 4k = (-8 + 18k)
Solving
20 + 4k = -8 + 18k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-18k' to each side of the equation.
20 + 4k + -18k = -8 + 18k + -18k
Combine like terms: 4k + -18k = -14k
20 + -14k = -8 + 18k + -18k
Combine like terms: 18k + -18k = 0
20 + -14k = -8 + 0
20 + -14k = -8
Add '-20' to each side of the equation.
20 + -20 + -14k = -8 + -20
Combine like terms: 20 + -20 = 0
0 + -14k = -8 + -20
-14k = -8 + -20
Combine like terms: -8 + -20 = -28
-14k = -28
Divide each side by '-14'.