216=6(1+5k)

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Solution for 216=6(1+5k) equation:


Simplifying
216 = 6(1 + 5k)
216 = (1 * 6 + 5k * 6)
216 = (6 + 30k)

Solving
216 = 6 + 30k

Solving for variable 'k'.

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

Add '-30k' to each side of the equation.
216 + -30k = 6 + 30k + -30k

Combine like terms: 30k + -30k = 0
216 + -30k = 6 + 0
216 + -30k = 6

Add '-216' to each side of the equation.
216 + -216 + -30k = 6 + -216

Combine like terms: 216 + -216 = 0
0 + -30k = 6 + -216
-30k = 6 + -216

Combine like terms: 6 + -216 = -210
-30k = -210

Divide each side by '-30'.
k = 7

Simplifying
k = 7

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