3k+5=3(4k-10)+53

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Solution for 3k+5=3(4k-10)+53 equation:


Simplifying
3k + 5 = 3(4k + -10) + 53

Reorder the terms:
5 + 3k = 3(4k + -10) + 53

Reorder the terms:
5 + 3k = 3(-10 + 4k) + 53
5 + 3k = (-10 * 3 + 4k * 3) + 53
5 + 3k = (-30 + 12k) + 53

Reorder the terms:
5 + 3k = -30 + 53 + 12k

Combine like terms: -30 + 53 = 23
5 + 3k = 23 + 12k

Solving
5 + 3k = 23 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
5 + 3k + -12k = 23 + 12k + -12k

Combine like terms: 3k + -12k = -9k
5 + -9k = 23 + 12k + -12k

Combine like terms: 12k + -12k = 0
5 + -9k = 23 + 0
5 + -9k = 23

Add '-5' to each side of the equation.
5 + -5 + -9k = 23 + -5

Combine like terms: 5 + -5 = 0
0 + -9k = 23 + -5
-9k = 23 + -5

Combine like terms: 23 + -5 = 18
-9k = 18

Divide each side by '-9'.
k = -2

Simplifying
k = -2

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