12(-3k-5)+9(8-k)=5k+5k+7+3k

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Solution for 12(-3k-5)+9(8-k)=5k+5k+7+3k equation:


Simplifying
12(-3k + -5) + 9(8 + -1k) = 5k + 5k + 7 + 3k

Reorder the terms:
12(-5 + -3k) + 9(8 + -1k) = 5k + 5k + 7 + 3k
(-5 * 12 + -3k * 12) + 9(8 + -1k) = 5k + 5k + 7 + 3k
(-60 + -36k) + 9(8 + -1k) = 5k + 5k + 7 + 3k
-60 + -36k + (8 * 9 + -1k * 9) = 5k + 5k + 7 + 3k
-60 + -36k + (72 + -9k) = 5k + 5k + 7 + 3k

Reorder the terms:
-60 + 72 + -36k + -9k = 5k + 5k + 7 + 3k

Combine like terms: -60 + 72 = 12
12 + -36k + -9k = 5k + 5k + 7 + 3k

Combine like terms: -36k + -9k = -45k
12 + -45k = 5k + 5k + 7 + 3k

Reorder the terms:
12 + -45k = 7 + 5k + 5k + 3k

Combine like terms: 5k + 5k = 10k
12 + -45k = 7 + 10k + 3k

Combine like terms: 10k + 3k = 13k
12 + -45k = 7 + 13k

Solving
12 + -45k = 7 + 13k

Solving for variable 'k'.

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

Add '-13k' to each side of the equation.
12 + -45k + -13k = 7 + 13k + -13k

Combine like terms: -45k + -13k = -58k
12 + -58k = 7 + 13k + -13k

Combine like terms: 13k + -13k = 0
12 + -58k = 7 + 0
12 + -58k = 7

Add '-12' to each side of the equation.
12 + -12 + -58k = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -58k = 7 + -12
-58k = 7 + -12

Combine like terms: 7 + -12 = -5
-58k = -5

Divide each side by '-58'.
k = 0.08620689655

Simplifying
k = 0.08620689655

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