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Mathematics
Layne
7 January, 10:33
Solve: 4 (k + 5) = 2 (9k - 4)
+4
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Nash Wolfe
7 January, 14:20
0
k = 2
Step-by-step explanation:
Simplifying
4 (k + 5) = 2 (9k + - 4)
Reorder the terms:
4 (5 + k) = 2 (9k + - 4)
(5 * 4 + k * 4) = 2 (9k + - 4)
(20 + 4k) = 2 (9k + - 4)
Reorder the terms:
20 + 4k = 2 (-4 + 9k)
20 + 4k = (-4 * 2 + 9k * 2)
20 + 4k = (-8 + 18k)
Solving
20 + 4k = - 8 + 18k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-18k' to each side of the equation.
20 + 4k + - 18k = - 8 + 18k + - 18k
Combine like terms: 4k + - 18k = - 14k
20 + - 14k = - 8 + 18k + - 18k
Combine like terms: 18k + - 18k = 0
20 + - 14k = - 8 + 0
20 + - 14k = - 8
Add '-20' to each side of the equation.
20 + - 20 + - 14k = - 8 + - 20
Combine like terms: 20 + - 20 = 0
0 + - 14k = - 8 + - 20
-14k = - 8 + - 20
Combine like terms: - 8 + - 20 = - 28
-14k = - 28
Divide each side by '-14'.
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