5(1-8k)+4(3k+7)=61

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Solution for 5(1-8k)+4(3k+7)=61 equation:


Simplifying
5(1 + -8k) + 4(3k + 7) = 61
(1 * 5 + -8k * 5) + 4(3k + 7) = 61
(5 + -40k) + 4(3k + 7) = 61

Reorder the terms:
5 + -40k + 4(7 + 3k) = 61
5 + -40k + (7 * 4 + 3k * 4) = 61
5 + -40k + (28 + 12k) = 61

Reorder the terms:
5 + 28 + -40k + 12k = 61

Combine like terms: 5 + 28 = 33
33 + -40k + 12k = 61

Combine like terms: -40k + 12k = -28k
33 + -28k = 61

Solving
33 + -28k = 61

Solving for variable 'k'.

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

Add '-33' to each side of the equation.
33 + -33 + -28k = 61 + -33

Combine like terms: 33 + -33 = 0
0 + -28k = 61 + -33
-28k = 61 + -33

Combine like terms: 61 + -33 = 28
-28k = 28

Divide each side by '-28'.
k = -1

Simplifying
k = -1

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