3(k-5)-2(k+1)-13=-24

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Solution for 3(k-5)-2(k+1)-13=-24 equation: 


Simplifying
3(k + -5) + -2(k + 1) + -13 = -24

Reorder the terms:
3(-5 + k) + -2(k + 1) + -13 = -24
(-5 * 3 + k * 3) + -2(k + 1) + -13 = -24
(-15 + 3k) + -2(k + 1) + -13 = -24

Reorder the terms:
-15 + 3k + -2(1 + k) + -13 = -24
-15 + 3k + (1 * -2 + k * -2) + -13 = -24
-15 + 3k + (-2 + -2k) + -13 = -24

Reorder the terms:
-15 + -2 + -13 + 3k + -2k = -24

Combine like terms: -15 + -2 = -17
-17 + -13 + 3k + -2k = -24

Combine like terms: -17 + -13 = -30
-30 + 3k + -2k = -24

Combine like terms: 3k + -2k = 1k
-30 + 1k = -24

Solving
-30 + 1k = -24

Solving for variable 'k'.

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

Add '30' to each side of the equation.
-30 + 30 + 1k = -24 + 30

Combine like terms: -30 + 30 = 0
0 + 1k = -24 + 30
1k = -24 + 30

Combine like terms: -24 + 30 = 6
1k = 6

Divide each side by '1'.
k = 6

Simplifying
k = 6

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