Question

solve the following linear equation:
$-4(2k + 7) - 6k = -18k$
enter each solution as an integer or reduced fraction only. decimal and mixed number answers will not be accepted. enter r if the solution is all real numbers. enter dne if there is no real solution.
$k = \square$

Explanation:

Step1: Expand the left-hand side

$-4(2k+7)-6k = -8k -28 -6k$

Step2: Combine like terms on left

$-8k -28 -6k = -14k -28$

Step3: Bring all k terms to left

$-14k -28 +18k = 0$

Step4: Combine like terms and isolate k

$4k = 28$
$k = \frac{28}{4}$

Step5: Simplify the fraction

$k = 7$

Answer:

$7$