Solve for c.
2c + 1.8 = 2.4c – 1
c =
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To solve the equation (2c + 1.8 = 2.4c – 1), we will isolate (c). Here are the steps:
1. Start with the original equation:
[
2c + 1.8 = 2.4c – 1
]
2. Subtract (2c) from both sides to get all (c) terms on one side:
[
1.8 = 2.4c – 2c – 1
]
This simplifies to:
[
1.8 = 0.4c – 1
]
3. Next, add (1) to both sides to isolate the term with (c):
[
1.8 + 1 = 0.4c
]
This simplifies to:
[
2.8 = 0.4c
]
4. Finally, divide both sides by (0.4) to solve for (c):
[
c = frac{2.8}{0.4} = 7
]
So, the solution is:
[
c = 7
]