Question: Rearrange $w = 5(2a + b) - 6$ to make the subject.
1. **State the problem:** We need to rearrange the equation $$w = 5(2a + b) - 6$$ to make $a$ the subject.
2. **Expand the brackets:** Use the distributive property to expand the right side:
$$w = 5 \times 2a + 5 \times b - 6$$
$$w = 10a + 5b - 6$$
3. **Isolate terms involving $a$:** Add $6$ to both sides to move the constant term:
$$w + 6 = 10a + 5b$$
4. **Move $5b$ to the left side:** Subtract $5b$ from both sides:
$$w + 6 - 5b = 10a$$
5. **Make $a$ the subject:** Divide both sides by $10$:
$$a = \frac{w + 6 - 5b}{10}$$
6. **Show cancellation step:**
$$a = \frac{\cancel{w + 6 - 5b}}{\cancel{10}}$$ (no common factors to cancel here, so this is just the division step)
**Final answer:**
$$a = \frac{w + 6 - 5b}{10}$$