Final answer:
There is only one solution for the equation 28x + 27 = -42x - 8, which is x = -1/2.
Step-by-step explanation:
To find the number of solutions for the equation 28x + 27 = -42x - 8, we need to solve for x. First, we can simplify the equation by combining like terms. Adding 42x to both sides and subtracting 27 from both sides, we get 70x = -35. To isolate x, we divide both sides of the equation by 70. So, x = -35/70, which simplifies to x = -1/2.
Therefore, there is only one solution for the equation 28x + 27 = -42x - 8, which is x = -1/2.