Simplifying
8 * 4k + 9 * 5 = (36 + -4) * k + -1(2 * 5)
Multiply 8 * 4
32k + 9 * 5 = (36 + -4) * k + -1(2 * 5)
Multiply 9 * 5
32k + 45 = (36 + -4) * k + -1(2 * 5)
Reorder the terms:
45 + 32k = (36 + -4) * k + -1(2 * 5)
Combine like terms: 36 + -4 = 32
45 + 32k = (32) * k + -1(2 * 5)
Multiply 2 * 5
45 + 32k = 32k + -1(10)
Multiply -1 * 10
45 + 32k = 32k + -10
Reorder the terms:
45 + 32k = -10 + 32k
Add '-32k' to each side of the equation.
45 + 32k + -32k = -10 + 32k + -32k
Combine like terms: 32k + -32k = 0
45 + 0 = -10 + 32k + -32k
45 = -10 + 32k + -32k
Combine like terms: 32k + -32k = 0
45 = -10 + 0
45 = -10
Solving
45 = -10