-7k-33=-3k-7(k+3)

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Solution for -7k-33=-3k-7(k+3) equation:


Simplifying
-7k + -33 = -3k + -7(k + 3)

Reorder the terms:
-33 + -7k = -3k + -7(k + 3)

Reorder the terms:
-33 + -7k = -3k + -7(3 + k)
-33 + -7k = -3k + (3 * -7 + k * -7)
-33 + -7k = -3k + (-21 + -7k)

Reorder the terms:
-33 + -7k = -21 + -3k + -7k

Combine like terms: -3k + -7k = -10k
-33 + -7k = -21 + -10k

Solving
-33 + -7k = -21 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
-33 + -7k + 10k = -21 + -10k + 10k

Combine like terms: -7k + 10k = 3k
-33 + 3k = -21 + -10k + 10k

Combine like terms: -10k + 10k = 0
-33 + 3k = -21 + 0
-33 + 3k = -21

Add '33' to each side of the equation.
-33 + 33 + 3k = -21 + 33

Combine like terms: -33 + 33 = 0
0 + 3k = -21 + 33
3k = -21 + 33

Combine like terms: -21 + 33 = 12
3k = 12

Divide each side by '3'.
k = 4

Simplifying
k = 4

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