1-8(5k-5)=-33-3k

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Solution for 1-8(5k-5)=-33-3k equation:


Simplifying
1 + -8(5k + -5) = -33 + -3k

Reorder the terms:
1 + -8(-5 + 5k) = -33 + -3k
1 + (-5 * -8 + 5k * -8) = -33 + -3k
1 + (40 + -40k) = -33 + -3k

Combine like terms: 1 + 40 = 41
41 + -40k = -33 + -3k

Solving
41 + -40k = -33 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
41 + -40k + 3k = -33 + -3k + 3k

Combine like terms: -40k + 3k = -37k
41 + -37k = -33 + -3k + 3k

Combine like terms: -3k + 3k = 0
41 + -37k = -33 + 0
41 + -37k = -33

Add '-41' to each side of the equation.
41 + -41 + -37k = -33 + -41

Combine like terms: 41 + -41 = 0
0 + -37k = -33 + -41
-37k = -33 + -41

Combine like terms: -33 + -41 = -74
-37k = -74

Divide each side by '-37'.
k = 2

Simplifying
k = 2

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