(9k+30)-(4k+100)=100

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Solution for (9k+30)-(4k+100)=100 equation:


Simplifying
(9k + 30) + -1(4k + 100) = 100

Reorder the terms:
(30 + 9k) + -1(4k + 100) = 100

Remove parenthesis around (30 + 9k)
30 + 9k + -1(4k + 100) = 100

Reorder the terms:
30 + 9k + -1(100 + 4k) = 100
30 + 9k + (100 * -1 + 4k * -1) = 100
30 + 9k + (-100 + -4k) = 100

Reorder the terms:
30 + -100 + 9k + -4k = 100

Combine like terms: 30 + -100 = -70
-70 + 9k + -4k = 100

Combine like terms: 9k + -4k = 5k
-70 + 5k = 100

Solving
-70 + 5k = 100

Solving for variable 'k'.

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

Add '70' to each side of the equation.
-70 + 70 + 5k = 100 + 70

Combine like terms: -70 + 70 = 0
0 + 5k = 100 + 70
5k = 100 + 70

Combine like terms: 100 + 70 = 170
5k = 170

Divide each side by '5'.
k = 34

Simplifying
k = 34

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