3(5-k)+70(k-6)=1000

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Solution for 3(5-k)+70(k-6)=1000 equation: 


Simplifying
3(5 + -1k) + 70(k + -6) = 1000
(5 * 3 + -1k * 3) + 70(k + -6) = 1000
(15 + -3k) + 70(k + -6) = 1000

Reorder the terms:
15 + -3k + 70(-6 + k) = 1000
15 + -3k + (-6 * 70 + k * 70) = 1000
15 + -3k + (-420 + 70k) = 1000

Reorder the terms:
15 + -420 + -3k + 70k = 1000

Combine like terms: 15 + -420 = -405
-405 + -3k + 70k = 1000

Combine like terms: -3k + 70k = 67k
-405 + 67k = 1000

Solving
-405 + 67k = 1000

Solving for variable 'k'.

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

Add '405' to each side of the equation.
-405 + 405 + 67k = 1000 + 405

Combine like terms: -405 + 405 = 0
0 + 67k = 1000 + 405
67k = 1000 + 405

Combine like terms: 1000 + 405 = 1405
67k = 1405

Divide each side by '67'.
k = 20.97014925

Simplifying
k = 20.97014925

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