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Answers
4x+10k=4 Answer
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Answer:
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Step-by-step explanation:
4k + 7(-4 + -2k) = -2(k + -2)
4k + (-4 * 7 + -2k * 7) = -2(k + -2)
4k + (-28 + -14k) = -2(k + -2)
Reorder the terms:
-28 + 4k + -14k = -2(k + -2)
Combine like terms: 4k + -14k = -10k
-28 + -10k = -2(k + -2)
Reorder the terms:
-28 + -10k = -2(-2 + k)
-28 + -10k = (-2 * -2 + k * -2)
-28 + -10k = (4 + -2k)
Solving
-28 + -10k = 4 + -2k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '2k' to each side of the equation.
-28 + -10k + 2k = 4 + -2k + 2k
Combine like terms: -10k + 2k = -8k
-28 + -8k = 4 + -2k + 2k
Combine like terms: -2k + 2k = 0
-28 + -8k = 4 + 0
-28 + -8k = 4
Add '28' to each side of the equation.
-28 + 28 + -8k = 4 + 28
Combine like terms: -28 + 28 = 0
0 + -8k = 4 + 28
-8k = 4 + 28
Combine like terms: 4 + 28 = 32
-8k = 32
Divide each side by '-8'.
k = -4
Simplifying
k = -4