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

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


Simplifying
8 + 5(12k + 5) = 7(9 + 9k)

Reorder the terms:
8 + 5(5 + 12k) = 7(9 + 9k)
8 + (5 * 5 + 12k * 5) = 7(9 + 9k)
8 + (25 + 60k) = 7(9 + 9k)

Combine like terms: 8 + 25 = 33
33 + 60k = 7(9 + 9k)
33 + 60k = (9 * 7 + 9k * 7)
33 + 60k = (63 + 63k)

Solving
33 + 60k = 63 + 63k

Solving for variable 'k'.

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

Add '-63k' to each side of the equation.
33 + 60k + -63k = 63 + 63k + -63k

Combine like terms: 60k + -63k = -3k
33 + -3k = 63 + 63k + -63k

Combine like terms: 63k + -63k = 0
33 + -3k = 63 + 0
33 + -3k = 63

Add '-33' to each side of the equation.
33 + -33 + -3k = 63 + -33

Combine like terms: 33 + -33 = 0
0 + -3k = 63 + -33
-3k = 63 + -33

Combine like terms: 63 + -33 = 30
-3k = 30

Divide each side by '-3'.
k = -10

Simplifying
k = -10

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