Question

Please Simplify those

Answer 1

The simplified expressions are: 1)
`\( (1)/(4)m - 6 \)`, 2)
`\( -2w - (1)/(4)z - 5 \)`, 3)
`\( -6.8 -3.3d \)` These results are obtained by combining like terms and simplifying the given algebraic expressions.

Let's simplify each expression:

1.
`\( (5)/(8) \cdot m + 9 - (3)/(8) \cdot m - 15 \)`

- Combine like terms:
`\( (5)/(8)m - (3)/(8)m + 9 - 15 \)`

- Simplify:
`\( (2)/(8)m - 6 \)`

- Further simplify:
`\( (1)/(4)m - 6 \)`

2.
`\( -8 (2)/(5)w + (-4 (1)/(2)z) + 2 + 6 (7)/(15)w + 9 (3)/(4)z - 7 \)`

- Combine like terms:
`\( -8 (2)/(5)w + 6 (7)/(15)w + (-4 (1)/(2)z + 9 (3)/(4)z) + (2 - 7) \)`

- Simplify:
`\( -8 (2)/(5)w + 6 (7)/(15)w - 4 (1)/(2)z + 9 (3)/(4)z - 5 \)`

- Combine the w terms and the z terms:
`\( -(10)/(5)w + (2)/(5)w - (9)/(2)z + (15)/(4)z - 5 \)`

- Simplify:
`\( -2w - (9)/(2)z + (15)/(4)z - 5 \)`

- Combine the z terms:
`\( -2w - (1)/(4)z - 5 \)`

3.
`\( -6.8 + (-2.2d) + (-4.5d) + 3.4d \)`

- Combine like terms:
`\( -6.8 -2.2d - 4.5d + 3.4d \)`

- Simplify:
`\( -6.8 -3.3d \)`

So, the simplified expressions are:

1.
`\( (1)/(4)m - 6 \)`

2.
`\( -2w - (1)/(4)z - 5 \)`

3.
`\( -6.8 -3.3d \)`