Final answer:
To solve the equation 2k - 5k = 3(1 - 2k), follow these steps: Identify the unknown (k), identify the knowns (2, 5, and 3(1 - 2k)), choose an equation, plug in the knowns, and solve for the unknown. In this case, the solution is k = 1.
Step-by-step explanation:
Step 1: Identify the unknown. In this equation, the unknown is k.
Step 2: Identify the knowns. In this equation, the knowns are the constants 2 and 5, and the expression 3(1 - 2k).
Step 3: Choose an equation, plug in the knowns, and solve for the unknown. Subtract 5k from 2k to get -3k on the left side, and distribute 3 to get 3 - 6k on the right side. Combine like terms to get -3k = 3 - 6k. Add 6k to both sides to get 3k = 3. Divide both sides by 3 to solve for k, which gives k = 1.