-15(k-36)=24(k-10)

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Solution for -15(k-36)=24(k-10) equation:


Simplifying
-15(k + -36) = 24(k + -10)

Reorder the terms:
-15(-36 + k) = 24(k + -10)
(-36 * -15 + k * -15) = 24(k + -10)
(540 + -15k) = 24(k + -10)

Reorder the terms:
540 + -15k = 24(-10 + k)
540 + -15k = (-10 * 24 + k * 24)
540 + -15k = (-240 + 24k)

Solving
540 + -15k = -240 + 24k

Solving for variable 'k'.

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

Add '-24k' to each side of the equation.
540 + -15k + -24k = -240 + 24k + -24k

Combine like terms: -15k + -24k = -39k
540 + -39k = -240 + 24k + -24k

Combine like terms: 24k + -24k = 0
540 + -39k = -240 + 0
540 + -39k = -240

Add '-540' to each side of the equation.
540 + -540 + -39k = -240 + -540

Combine like terms: 540 + -540 = 0
0 + -39k = -240 + -540
-39k = -240 + -540

Combine like terms: -240 + -540 = -780
-39k = -780

Divide each side by '-39'.
k = 20

Simplifying
k = 20

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